{"id":6197,"date":"2025-12-24T17:21:35","date_gmt":"2025-12-24T08:21:35","guid":{"rendered":"https:\/\/math-travel.com\/?p=6197"},"modified":"2026-02-08T00:08:56","modified_gmt":"2026-02-07T15:08:56","slug":"suuretu-matome","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-b\/suuretu-matome\/","title":{"rendered":"\u3010\u6570\u5217\u306e\u516c\u5f0f\u307e\u3068\u3081\u3011\u7b49\u5dee\u30fb\u7b49\u6bd4\u30fb\u968e\u5dee\u30fb\u6f38\u5316\u5f0f\u30fb\u7fa4\u6570\u5217\u3092\u5fb9\u5e95\u89e3\u8aac\uff01"},"content":{"rendered":"\n<p><span class=\"checkmark2 on-color\">\u6570\u5b66B\u306e\u6570\u5217\u306f\u516c\u5f0f\u304c\u591a\u3044\u305f\u3081\u3001\u82e6\u624b\u610f\u8b58\u3092\u6301\u3063\u3066\u3044\u308b\u9ad8\u6821\u751f\u3082\u591a\u3044\u3067\u3059\u3088\u306d\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u4eca\u56de\u89e3\u6c7a\u3059\u308b\u60a9\u307f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u300c\u6570\u5217\u304c\u82e6\u624b\u300d<\/p>\n\n\n\n<p> \u300c\u6570\u5217\u306e\u7dcf\u5fa9\u7fd2\u3092\u3057\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4eca\u56de\u306f\u6570\u5217\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5b9a\u671f\u30c6\u30b9\u30c8\u306b\u5411\u3051\u3066\u6570\u5217\u306e\u7dcf\u5fa9\u7fd2\u304c\u3057\u305f\u3044\u3067\u3059\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u6570\u5217\u306b\u304a\u3044\u3066\u7279\u306b\u91cd\u8981\u306a\u3082\u306e\u306f\u4ee5\u4e0b\u306e4\u3064\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li><a href=\"#tousa\">\u7b49\u5dee\u6570\u5217<\/a><\/li>\n\n\n\n<li><a href=\"#touhi\">\u7b49\u6bd4\u6570\u5217<\/a><\/li>\n\n\n\n<li><a href=\"#kaisa\">\u968e\u5dee\u6570\u5217<\/a><\/li>\n\n\n\n<li><a href=\"#sigma\">\u2211\u30b7\u30b0\u30de\u306e\u8a08\u7b97<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f<span class=\"hutoaka\">\u6570\u5217\u306e\u516c\u5f0f\u3084\u89e3\u304d\u65b9\u306a\u3069\u3092\u5fb9\u5e95\u89e3\u8aac<\/span>\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u5217\u306e\u7dcf\u5fa9\u7fd2\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001<br>\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"toha\">\u6570\u5217\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b<span class=\"yellow-hoso\">\u6570\u5b57\u3092\u4e26\u3079\u305f\u3082\u306e<\/span>\u3092\u300c\u6570\u5217\u300d\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"486\" height=\"100\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2460.jpg\" alt=\"\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3754\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2460.jpg 486w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2460-300x62.jpg 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"huto\">\u5b9f\u306f\u3001\u3053\u306e\u6570\u5217\u306f\u30e9\u30f3\u30c0\u30e0\u306b\u4e26\u3079\u305f\u308f\u3051\u3067\u306f\u306a\u304f\u3001\u4e26\u3073\u65b9\u306b\u3042\u308b\u6cd5\u5247\u304c\u3042\u308b\u306e\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u4e0b\u306e\u56f3\u304b\u3089\u5206\u304b\u308b\u3088\u3046\u306b\u3001\u53f3\u306b\u9032\u3080\u305f\u3073\u306b3\u305a\u3064\u6570\u5b57\u304c\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"513\" height=\"227\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2461.jpg\" alt=\"\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3755\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2461.jpg 513w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u3068\u306f\u2461-300x133.jpg 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4e0a\u306e\u6570\u5217\u306e\u3088\u3046\u306b\u3001<span class=\"huto\">\u540c\u3058\u5dee\u3067\u5909\u5316\u3057\u3066\u3044\u304f\u6570\u5217<\/span>\u3092<span class=\"hutoaka\">\u7b49\u5dee\u6570\u5217<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067\u3001\u4e0b\u306e\u6570\u5217\u306e\u3088\u3046\u306b<span class=\"huto\">\u540c\u3058\u6bd4\u3092\u639b\u3051\u3066\u3044\u304f\u6570\u5217<\/span>\u3092<span class=\"hutoaka\">\u7b49\u6bd4\u6570\u5217<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"yougo\">\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e<\/h3>\n\n\n\n<p><span class=\"huto\">\u6570\u5217\u306e\u306a\u304b\u306e\u6570\u5b57\uff11\u3064\uff11\u3064\u3092<\/span><span class=\"yellow-hoso\">\u9805<\/span><span class=\"huto\">\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"567\" height=\"147\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2463.jpg\" alt=\"\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\" class=\"wp-image-3758\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2463.jpg 567w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2463-300x78.jpg 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"567\" height=\"158\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2462.jpg\" alt=\"\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\" class=\"wp-image-3757\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2462.jpg 567w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u6570\u5217\u306e\u57fa\u672c\u7528\u8a9e\u2462-300x84.jpg 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6570\u5217\u306e\u6700\u521d\u306e\u9805\u3092\u521d\u9805\u3068\u547c\u3073\u3001\u6700\u5f8c\u306e\u9805\u3092\u672b\u9805\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6570\u5217\u306e\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6700\u521d\u306e\u9805\u3000\u21d2\u3000\u521d\u9805\uff08\u3057\u3087\u3053\u3046\uff09<\/p>\n\n\n\n<p>\u6700\u5f8c\u306e\u9805\u3000\u21d2\u3000\u672b\u9805\uff08\u307e\u3063\u3053\u3046\uff09<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6700\u521d\u3060\u304b\u3089\u521d\u9805\u3001\u672b\u5c3e\u3060\u304b\u3089\u672b\u9805\u3068\u3044\u3046\u3093\u3060\u306d<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u305d\u3046\u305d\u3046\uff01\u305a\u3063\u3068\u4f7f\u3046\u8a00\u8449\u3060\u304b\u3089\u5fc5\u305a\u7406\u89e3\u3057\u3066\u304a\u3053\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"tousa\">\u7b49\u5dee\u6570\u5217\u306e\u516c\u5f0f<\/h2>\n\n\n\n<p>\u7b49\u5dee\u6570\u5217\u3068\u306f\u3001<span class=\"yellow-hoso\">\u300c\u4e00\u5b9a\u306e\u5dee\u3067\u5909\u5316\u3059\u308b\u6570\u5217\u300d<\/span>\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"632\" height=\"192\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217.jpg\" alt=\"\u7b49\u5dee\u6570\u5217\" class=\"wp-image-3759\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217.jpg 632w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-300x91.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/figure>\n<\/div>\n\n\n<p>\u7b49\u5dee\u6570\u5217\u306b\u304a\u3044\u3066\u96a3\u63a5\u3059\u308b\u9805\u306e\u5dee\u3092\u516c\u5dee\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6570\u5217\u304c\u3042\u308b\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"563\" height=\"70\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg\" alt=\"\u7b49\u5dee\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3775\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg 563w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1-300x37.jpg 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u300c\u521d\u98055\u3001\u672b\u980540\u3001\u516c\u5dee7\u3001\u9805\u65706\u306e\u7b49\u5dee\u6570\u5217\u300d\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"563\" height=\"118\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217\u2460.jpg\" alt=\"\u7b49\u5dee\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3776\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217\u2460.jpg 563w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217\u2460-300x63.jpg 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217<\/span><\/div><div class=\"cap_box_content\">\n<p>\u7b49\u5dee\u6570\u5217\u3000\u21d2\u3000\u4e00\u5b9a\u306e\u5dee\u3067\u5909\u5316\u3059\u308b\u6570\u5217<\/p>\n\n\n\n<p>\u516c\u5dee\uff1a\u96a3\u308a\u3042\u3046\u9805\u306e\u5dee<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p><span class=\"huto\">\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u5dee\\(d\\)\u306e\u7b49\u5dee\u6570\u5217\u3092\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\[a_{n}=a_{1} + (n-1)d\\]<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u53c2\u8003<\/span><\/div><div class=\"cap_box_content\">\n<p>\u4e00\u822c\u9805\u3068\u306f\u3001\u6570\u5217\u306e\u7b2c(n)\u9805(a_{n})\u3092(n)\u3092\u7528\u3044\u3066\u8868\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u306a\u3093\u3060\u304b\u96e3\u3057\u3044\u5f62\u3092\u3057\u3066\u3044\u308b\u306d\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u516c\u5f0f\u306e\u8a3c\u660e\u3092\u898b\u308c\u3070\u3001\u7d0d\u5f97\u3067\u304d\u308b\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u7b49\u5dee\u6570\u5217\u306f\u521d\u9805\u306b\u516c\u5dee\u3092\u52a0\u3048\u3066\u3044\u304f\u6570\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u304c\u7b49\u5dee\u6570\u5217\u3060\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u7b49\u5dee\u6570\u5217\u306e\u516c\u5dee\u3092\\(d\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)\u2190\u521d\u9805<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} + d\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} + 2d\\)<\/p>\n\n\n\n<p>\\(a_{4}=a_{1} + 3d\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u521d\u9805\u306b\u516c\u5dee\u3092\u52a0\u3048\u3066\u3044\u304f\u306e\u3067\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} + d\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} + 2d\\)<\/p>\n\n\n\n<p>\uff1a<\/p>\n\n\n\n<p>\\(a_{n}=a_{1} + (n-1)d\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306f\\(a_{n}=a_{1} + (n-1)d\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u4f7f\u3063\u3066\u4e00\u822c\u9805\u3092\u8003\u3048\u3066\u307f\u3088\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u3053\u3053\u306b\u7b49\u5dee\u6570\u5217\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>2 , 5 , 8 , 11 , 14 , 17 ,20 \u2026<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u300c\u521d\u98052\u3001\u516c\u5dee3\u306e\u7b49\u5dee\u6570\u5217\u300d\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u516c\u5f0f\u3092\u601d\u3044\u51fa\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u5dee\\(d\\)\u306e\u7b49\u5dee\u6570\u5217\u3092\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\[a_{n}=a_{1} + (n-1)d\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\\(a_{1}=2\u3001d=3\\)\u306e\u7b49\u5dee\u6570\u5217\u306a\u306e\u3067\u6c42\u3081\u308b\u4e00\u822c\u9805\u306f\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{n}&amp;=&amp;a_{1}+(n-1)d\\\\<br>&amp;=&amp;2+(n-1)3\\\\<br>&amp;=&amp;3n-1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u5dee\u6570\u5217\uff5b2 , 5 , 8 , 11 , 14&nbsp; \u2026\uff5d\u306e\u4e00\u822c\u9805\u306f\\(a_{n}=3n-1\\)<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5fc3\u914d\u306a\u3068\u304d\u306f\u4ee3\u5165\u3057\u3066\u78ba\u304b\u3081\u3066\u307f\u3088\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p><span class=\"yellow-hoso\">\u4e00\u822c\u9805\u304c\u4e0d\u5b89\u306a\u3068\u304d\u306f\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u4ee3\u5165\u3057\u3066\u78ba\u304b\u3081\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u521d\u9805\u304c2\u306a\u306e\u3067\u3001\u4e00\u822c\u9805\u306b\\(n=1\\)\u3092\u4ee3\u5165\u3057\u30662\u306b\u306a\u308c\u3070\u5927\u4e08\u592b\u305d\u3046\u3067\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{1}&amp;=&amp;3 \\times 1-1\\\\<br>&amp;=&amp;2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u521d\u9805\u3068\u540c\u3058\u5024\u306b\u306a\u3063\u305f\u306e\u3067\u554f\u984c\u306a\u3055\u305d\u3046\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p><span class=\"huto\">\u6570\u5217\u306e\u9805\u3092\u8db3\u3059\u3053\u3068\u3092\u6570\u5217\u306e\u548c\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u7b49\u5dee\u6570\u5217{3 , 5 , 7 , 9}\u306e\u521d\u9805\u304b\u3089\u7b2c4\u9805\u307e\u3067\u306e\u548c\u306f24\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>3+5+7+9=24<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u554f\u984c\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u516c\u5f0f\u304c2\u3064\u3042\u308a\u307e\u3059\u3002<span class=\"hutoaka\">\u3053\u308c\u306f\u78ba\u5b9f\u306b\u899a\u3048\u3066\u304a\u304d\u305f\u3044\u516c\u5f0f<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u548c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a\\)\u3001\u516c\u5dee\\(d\\)\u3001\u672b\u9805\\(l\\)\u3001\u9805\u6570\\(n\\)\u306e\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\\(S_{n}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{n}&amp;=&amp;\\frac{n}{2}(a+l)\\\\<br>\\displaystyle &amp;=&amp;\\frac{n}{2}\\{2a+(n-1)d\\}<br>\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n<p>\u5b9f\u969b\u306b\u7b49\u5dee\u6570\u5217\u306e\u548c\u30922\u3064\u306e\u3084\u308a\u65b9\u3067\u6c42\u3081\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460<\/h4>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u7b49\u5dee\u6570\u5217\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"563\" height=\"70\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg\" alt=\"\u7b49\u5dee\u6570\u5217\u306e\u548c\" class=\"wp-image-3775\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg 563w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1-300x37.jpg 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u308c\u306f\u521d\u98055\u3001\u672b\u980540\u3001\u9805\u65706\u306e\u7b49\u5dee\u6570\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u521d\u9805\u3068\u672b\u9805\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u3053\u3063\u3061\u306e\u548c\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u548c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a\\)\u3001\u672b\u9805\\(l\\)\u3001\u9805\u6570\\(n\\)\u306e\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\\(S_{n}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{n}&amp;=&amp;\\frac{n}{2}(a+l)\\\\<br>\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306e\u521d\u9805\u304b\u3089\u7b2c6\u9805\u307e\u3067\u306e\u548c\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{6}&amp;=&amp;\\frac{6}{2}(5+40)\\\\<br>&amp;=&amp;3 \\times 45\\\\<br>&amp;=&amp;135<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\u3001\u672b\u9805\u3001\u9805\u6570\u304c\u5206\u304b\u308b\u5834\u5408\u306f\u3053\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{n}&amp;=&amp;\\frac{n}{2}(a+l)<br>\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461<\/h4>\n\n\n\n<p>\u540c\u3058\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\u3082\u30461\u3064\u306e\u6c42\u3081\u65b9\u3067\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"563\" height=\"70\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg\" alt=\"\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\" class=\"wp-image-3775\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1.jpg 563w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u5dee\u6570\u5217-1-300x37.jpg 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u521d\u98055\u3001\u516c\u5dee7\u3001\u9805\u65706\u306e\u7b49\u5dee\u6570\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u521d\u9805\u3001\u516c\u5dee\u3001\u9805\u6570\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f\u3053\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u548c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a\\)\u3001\u516c\u5dee\\(d\\)\u3001\u9805\u6570\\(n\\)\u306e\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\\(S_{n}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{n}&amp;=&amp;\\frac{n}{2}\\{2a+(n-1)d\\}<br>\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306e\u521d\u9805\u304b\u3089\u7b2c6\u9805\u307e\u3067\u306e\u548c\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{6}&amp;=&amp;\\frac{6}{2}(2 \\times 5+(6-1)7)\\\\<br>&amp;=&amp;3 (10 + 35)\\\\<br>&amp;=&amp;3 \\times 45\\\\<br>&amp;=&amp;135<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u5dee\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\u3001\u516c\u5dee\u3001\u9805\u6570\u304c\u5206\u304b\u308b\u5834\u5408\u306f\u3053\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{n}&amp;=&amp;\\frac{n}{2}\\{2a+(n-1)d\\}<br>\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u5dee\u6570\u5217\u306e\u6027\u8cea\u300a\u7b49\u5dee\u4e2d\u9805\u300b<\/h3>\n\n\n\n<p>\u7b49\u5dee\u6570\u5217\u306b\u306f\u201d\u7b49\u5dee\u4e2d\u9805\u201d\u3068\u3044\u3046\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u4e2d\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(a,b,c\\)\u304c\u7b49\u5dee\u6570\u5217\u306e\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\[2b=a+c\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u306f\u7b49\u5dee\u6570\u5217\u306e\u98053\u3064\u7528\u610f\u3057\u305f\u3068\u304d\u306b\u3001\u4e21\u7aef\u306e\u9805\u306e\u548c\u304c\u4e2d\u592e\u306e\u9805\u306e2\u500d\u306b\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"touhi\">\u7b49\u6bd4\u6570\u5217\u306e\u516c\u5f0f<\/h2>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217\u3068\u306f\u3001<span class=\"yellow-hoso\">\u300c\u4e00\u5b9a\u306e\u6bd4\u3067\u5909\u5316\u3059\u308b\u6570\u5217\u300d<\/span>\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"632\" height=\"172\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\" class=\"wp-image-3760\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217.jpg 632w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217-300x82.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/figure>\n<\/div>\n\n\n<p>\u7b49\u5dee\u6570\u5217\u306b\u304a\u3044\u3066\u96a3\u308a\u5408\u3046\uff12\u3064\u306e\u9805\u306e\u6bd4\u3092\u516c\u6bd4\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"563\" height=\"132\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217-1.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3806\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217-1.jpg 563w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217-1-300x70.jpg 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6570\u5217\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"593\" height=\"106\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52172.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3807\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52172.jpg 593w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52172-300x54.jpg 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u300c\u521d\u98052\u3001\u672b\u9805486\u3001\u516c\u6bd43\u3001\u9805\u65706\u306e\u7b49\u5dee\u6570\u5217\u300d\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"593\" height=\"147\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52173.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\u3068\u306f\uff1f\" class=\"wp-image-3808\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52173.jpg 593w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u52173-300x74.jpg 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217<\/span><\/div><div class=\"cap_box_content\">\n<p>\u7b49\u6bd4\u6570\u5217\u3000\u21d2\u3000\u4e00\u5b9a\u306e\u6bd4\u3067\u5909\u5316\u3059\u308b\u6570\u5217<\/p>\n\n\n\n<p>\u516c\u6bd4\uff1a\u96a3\u308a\u5408\u3046\u9805\u306e\u6bd4<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p><span class=\"huto\">\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u6bd4\\(r\\)\u306e\u7b49\u6bd4\u6570\u5217\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\[a_{n}=a_{1} \\cdot r^{n-1}\\]<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u521d\u9805\u306b\u516c\u6bd4\u3092\u639b\u3051\u3066\u308b\u5f0f\u3060\u3088\u306d\uff1f<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u305d\u3046\u305d\u3046\uff01\u9805\u304c\u9032\u3080\u306b\u3064\u308c\u3066(r)\u306e\u6570\u304c\u5897\u3048\u3066\u3044\u304f\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217\u306f\u521d\u9805\u306b\u5bfe\u3057\u3066\u516c\u6bd4\u3092\u639b\u3051\u3066\u3044\u304f\u6570\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u5217\\(a_{1}\u3000a_{2}\u3000a_{3}\u3000a_{4} &#8230;\u3000a_{n}\\)\u304c\u7b49\u6bd4\u6570\u5217\u3060\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u7b49\u6bd4\u6570\u5217\u306e\u516c\u6bd4\u3092\\(r\\)\u3060\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)\u2190\u521d\u9805<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} \\times r\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} \\times r^{2}\\)<\/p>\n\n\n\n<p>\\(a_{4}=a_{1} \\times r^{3}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u521d\u9805\u306b\u516c\u5dee\u3092\u52a0\u3048\u3066\u3044\u304f\u306e\u3067\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} \\times r\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} \\times r^{2}\\)<\/p>\n\n\n\n<p>\uff1a<\/p>\n\n\n\n<p>\\(a_{n}=a_{1} \\times r^{n-1}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u306f\\(a_{n}=a_{1} \\cdot r^{n-1}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u4f7f\u3063\u3066\u4e00\u822c\u9805\u3092\u8003\u3048\u3066\u307f\u3088\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u306b\u7b49\u6bd4\u6570\u5217\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>3 , 6 , 12 , 24 , 48 \u2026<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u300c\u521d\u98053\u3001\u516c\u6bd42\u306e\u7b49\u6bd4\u6570\u5217\u300d\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u516c\u5f0f\u3092\u601d\u3044\u51fa\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u6bd4\\(d\\)\u306e\u7b49\u6bd4\u6570\u5217\u3092\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\[a_{n}=a_{1} \\cdot&nbsp; r^{n-1}\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u521d\u98053\u3001\u516c\u6bd42\u306e\u6570\u5217\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{n}&amp;=&amp;a_{1} \\times r^{n-1}\\\\<br>&amp;=&amp;3 \\times 2^{n-1}\\\\<br>&amp;=&amp;3 \\cdot 2^{n-1}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u6bd4\u6570\u5217\uff5b3 , 6 , 12 , 24 , 48&nbsp; \u2026\uff5d\u306e\u4e00\u822c\u9805\u306f\\(a_{n}=3 \\cdot 2^{n-1}\\)<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6c42\u3081\u305f\u4e00\u822c\u9805\u304c\u5408\u3063\u3066\u3044\u308b\u304b\u5fc3\u914d\u306a\u3068\u304d\u306f\u3001\u5b9f\u969b\u306b\u4ee3\u5165\u3057\u3066\u78ba\u304b\u3081\u3066\u307f\u3088\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p><span class=\"huto\">\u6c42\u3081\u305f\u4e00\u822c\u9805\u304c\u4e0d\u5b89\u306a\u3068\u304d\u306f\u5177\u4f53\u7684\u306a\u6570\u5b57\u3092\u4ee3\u5165\u3057\u3066\u78ba\u304b\u3081\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{1}&amp;=&amp;3 \\times 2^{1-1}\\\\<br>&amp;=&amp;3 \\times 1\\\\<br>&amp;=&amp;3<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\\(n=1\\)\u306e\u3068\u304d\u521d\u9805\u3068\u540c\u3058\u304f3\u306b\u306a\u3063\u305f\u306e\u3067\u9593\u9055\u3044\u306a\u3055\u305d\u3046\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p><span class=\"huto\">\u6570\u5217\u306e\u9805\u3092\u8db3\u3059\u3053\u3068\u3092\u6570\u5217\u306e\u548c\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217{3 , 6 , 12 , 24}\u306e\u521d\u9805\u304b\u3089\u7b2c4\u9805\u307e\u3067\u306e\u548c\u306f26\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>3+6+12+24=45<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u7b49\u6bd4\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u554f\u984c\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u306f\u516c\u6bd4\u306e\u5024\u306b\u3088\u3063\u3066\u5909\u308f\u308a\u307e\u3059\u3002<br>\u8907\u96d1\u3067\u3059\u304c\u7b49\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u3068\u5408\u308f\u305b\u3066<span class=\"hutoaka\">\u78ba\u5b9f\u306b\u899a\u3048\u3066\u304a\u304d\u305f\u3044\u516c\u5f0f<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u548c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a\\)\u3001\u516c\u5dee\\(d\\)\u3001\u9805\u6570\\(n\\)\u306e\u7b49\u6bd4\u6570\u5217\u306e\u548c\u3092\\(S_{n}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>[1]\\(r  &lt; 1\\)\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=\\frac{a(1-r^{n})}{1-r}\\]<\/p>\n\n\n\n<p>[2]\\(r > 1\\)\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=\\frac{a(r^{n}-1)}{r-1}\\]<\/p>\n\n\n\n<p>[3]\\(r=1\\)\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[S_{n}=na\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u5b9f\u969b\u306b\u7b49\u6bd4\u6570\u5217\u306e\u548c\u30922\u3064\u306e\u3084\u308a\u65b9\u3067\u6c42\u3081\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460<\/h4>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u7b49\u6bd4\u6570\u5217\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"542\" height=\"78\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460\" class=\"wp-image-3810\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460.jpg 542w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2460-300x43.jpg 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u6570\u5217\u306f\u300c\u521d\u98055\u3001\u516c\u6bd43\u3001\u9805\u65706\u306e\u7b49\u6bd4\u6570\u5217\u300d\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u516c\u6bd4\u304c3\u30671\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3053\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\[\\displaystyle S_{n}=\\frac{a(r^{n}-1)}{r-1}\\]<\/p>\n\n\n\n<p>\u521d\u98055\u3001\u516c\u6bd43\u3001\u9805\u65706\u306e\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{6}&amp;=&amp;\\frac{a(r^{n}-1)}{r-1}\\\\<br>&amp;=&amp;\\frac{5(3^{6}-1)}{3-1}\\\\<br>&amp;=&amp;\\frac{5(729-1)}{2}<br>&amp;=&amp;1820<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7b49\u6bd4\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u516c\u6bd4\\(r\\)\u304c1\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u306f\u3053\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=\\frac{a(r^{n}-1)}{r-1}\\]<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461<\/h4>\n\n\n\n<p>\u516c\u6bd4\u304c1\u306e\u5834\u5408\u306e\u7b49\u6bd4\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"398\" height=\"63\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461.jpg\" alt=\"\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461\" class=\"wp-image-3811\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461.jpg 398w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f\u2461-300x47.jpg 300w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(r = 1\\)\u306e\u5834\u5408\u306f\u540c\u3058\u6570\u5b57\u304c\u4e26\u3073\u7d9a\u3051\u308b\u6570\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306e\u548c\u306f\uff08\u521d\u9805\uff09\u00d7\uff08\u9805\u6570\uff09\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(r=1\\)\u306e\u3068\u304d\u306f\u3053\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\[\\displaystyle S_{n}=na\\]<\/p>\n\n\n\n<p>\u4eca\u56de\u306f\u521d\u98055\u3001\u9805\u65706\u306e\u7b49\u6bd4\u6570\u5217\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle S_{6}&amp;=&amp;5 \\times 6\\\\<br>&amp;=&amp;30<br>\\end{eqnarray}<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u516c\u6bd4\\(r\\)\u304c1\u306e\u5834\u5408\u306f\u3053\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=na\\]<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u516c\u6bd4\u306e\u5024\u304c\u5206\u304b\u308c\u3070\u3001\u3042\u3068\u306f\u4ee3\u5165\u3059\u308b\u3060\u3051\u306a\u3093\u3060\u306d\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7b49\u6bd4\u6570\u5217\u306e\u6027\u8cea\u300a\u7b49\u6bd4\u4e2d\u9805\u300b<\/h3>\n\n\n\n<p>\u7b49\u6bd4\u6570\u5217\u306e\u6027\u8cea\u306e1\u3064\u306b\u201d\u7b49\u6bd4\u4e2d\u9805\u201d\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u4e2d\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(a,b,c\\)\u304c\u7b49\u6bd4\u6570\u5217\u306e\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\[b^{2}=ac\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u306f\u7b49\u5dee\u6570\u5217\u306e\u98053\u3064\u7528\u610f\u3057\u305f\u3068\u304d\u306b\u3001\u4e21\u7aef\u306e\u9805\u306e\u7a4d\u304c\u4e2d\u592e\u306e\u9805\u306e2\u4e57\u306b\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u306e\u516c\u5f0f<\/h2>\n\n\n\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u96a3\u308a\u5408\u30462\u3064\u306e\u9805\u306e\u5dee<\/p>\n\n\n\n<p>\\[b_{n}=a_{n+1}-a_{n}\u3000(n=1,2,3,\\cdots)\\]<\/p>\n\n\n\n<p>\u3092\u9805\u3068\u3059\u308b\u6570\u5217\\(\\{b_{n}\\}\\)\u3092\u3001\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u968e\u5dee\u6570\u5217\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"601\" height=\"241\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217.png\" alt=\"\u968e\u5dee\u6570\u5217\" class=\"wp-image-6248\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217.png 601w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217-300x120.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6570\u5217\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"495\" height=\"95\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b1.png\" alt=\"\u968e\u5dee\u6570\u5217\u306e\u4f8b1\" class=\"wp-image-6250\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b1.png 495w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b1-300x58.png 300w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u3068\u304d\u306e\u968e\u5dee\u6570\u5217\u306f\u521d\u9805\u304c3\u3067\u30013\u305a\u3064\u5897\u52a0\u3057\u3066\u3044\u308b\u306e\u3067\u300c\u521d\u98053\u3001\u516c\u5dee3\u306e\u7b49\u5dee\u6570\u5217\u300d\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"510\" height=\"177\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b.png\" alt=\"\u968e\u5dee\u6570\u5217\u306e\u4f8b\" class=\"wp-image-6249\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b.png 510w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u968e\u5dee\u6570\u5217\u306e\u4f8b-300x104.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u968e\u5dee\u6570\u5217<\/span><\/div><div class=\"cap_box_content\">\n<p>\u968e\u5dee\u6570\u5217\u3000\u21d2\u3000\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u96a3\u63a5\u3059\u308b\u9805\u306e\u5dee\u3092\u9805\u3068\u3059\u308b\u6570\u5217<\/p>\n\n\n\n<p>\u521d\u9805\uff1a\u6700\u521d\u306e\u9805<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"photoline\"><\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u305f\u4e00\u822c\u9805\u306e\u516c\u5f0f<\/h3>\n\n\n\n<p>\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u3066\u3001\u3082\u3068\u306e\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u8868\u3059\u3068\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u968e\u5dee\u6570\u5217\u3068\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u968e\u5dee\u6570\u5217\u3092\\(\\{b_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001n\u22672\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[a_{n}=a_{1}+\\sum_{k=1}^{n-1} b_{k}\\]<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u516c\u5f0f\u306b\u5909\u306a\u8a18\u53f7\u304c\u5165\u3063\u3066\u3044\u308b\u3088<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u03a3\uff08\u30b7\u30b0\u30de\uff09\u3092\u77e5\u3089\u306a\u3044\u4eba\u306f\u5148\u306b\u30b7\u30b0\u30de\u306b\u3064\u3044\u3066\u306e\u8a18\u4e8b\u3092\u8aad\u3093\u3067\u306d\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u5148\u306b\u30b7\u30b0\u30de\u306e\u516c\u5f0f\u3092\u78ba\u8a8d\u3057\u305f\u3044\u65b9\u306f\u300c<a href=\"#sigma\">5.\u30b7\u30b0\u30de\u306e\u8a08\u7b97\u516c\u5f0f<\/a>\u300d\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u305f\u4e00\u822c\u9805\u306e\u8a3c\u660e<\/h3>\n\n\n\n<p>\u306a\u305c\u03a3\uff08\u30b7\u30b0\u30de\uff09\u3092\u4f7f\u3046\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n\n\n\n<p>\u6570\u5217\u306e\u521d\u9805\\(a_{1}\\)\u306b\u5bfe\u3057\u3066\u3001\u968e\u5dee\u6570\u5217\\(\\{b_{n}\\}\\)\u3092\u52a0\u3048\u3066\u3044\u304f\u3068\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u5217\\(a_{1}\u3000a_{2}\u3000a_{3}\u3000a_{4} &#8230;\u3000a_{n}\\)\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306e\u968e\u5dee\u6570\u5217\u3092\\(\\{b_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)\u2190\u521d\u9805<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} + b_{1}\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} + b_{1}+b_{2}\\)<\/p>\n\n\n\n<p>\\(a_{4}=a_{1} + b_{1}+b_{2}+b_{3}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u521d\u9805\\(a_{1}\\)\u306b\u968e\u5dee\u6570\u5217\u306e\u9805\u3092\u52a0\u3048\u3066\u3044\u304f\u306e\u3067\u3001<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a_{1}=a_{1}\\)<\/p>\n\n\n\n<p>\\(a_{2}=a_{1} + b_{1}\\)<\/p>\n\n\n\n<p>\\(a_{3}=a_{1} + b_{1}+b_{2}\\)<\/p>\n\n\n\n<p>\uff1a<\/p>\n\n\n\n<p>\\(a_{n}=a_{1} + b_{1}+b_{2}+ \\cdots +b_{n-1} \\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u305f\u4e00\u822c\u9805\u306f<\/p>\n\n\n\n<p>\\[a_{n}=a_{1}+\\sum_{k=1}^{n-1} b_{k}\\]<\/p>\n\n\n\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u3053\u3053\u306b\u6570\u5217\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>3 , 5 , 8 , 12 , 17 , 23 \u2026<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u3060\u3051\u3067\u306f\u6cd5\u5247\u304c\u898b\u3048\u307e\u305b\u3093\u304c\u3001\u5404\u9805\u306e\u5dee\u3092\u6c42\u3081\u308b\u3068<\/p>\n\n\n\n<p>2 , 3 , 4 , 5 , 6 \u2026<\/p>\n\n\n\n<p>\u968e\u5dee\u6570\u5217\u304c\u300c\u521d\u98052\u3001\u516c\u5dee1\u306e\u7b49\u5dee\u6570\u5217\u300d\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u305f\u6570\u5217\u306e\u4e00\u822c\u9805\u306e\u516c\u5f0f\u3092\u601d\u3044\u51fa\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u968e\u5dee\u6570\u5217\u3068\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u968e\u5dee\u6570\u5217\u3092\\(\\{b_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001n\u22672\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[a_{n}=a_{1}+\\sum_{k=1}^{n-1} b_{k}\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3082\u3068\u306e\u6570\u5217\\(\\{a_{n}\\}\\)\u306f\u521d\u98053\u3067\u3001\u968e\u5dee\u6570\u5217\\(\\{b_{n}\\}\\)\u306f\u300c\u521d\u98052\u3001\u516c\u5dee1\u306e\u7b49\u5dee\u6570\u5217\u300d\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\[b_{n}=2+(n-1)\\]<\/p>\n\n\n\n<p>\\(n\u22672\\)\u306e\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{n}&amp;=&amp;a_{1}+\\sum_{k=1}^{n-1} b_{k}\\\\<br>&amp;=&amp;3+\\sum_{k=1}^{n-1} \\{2+(k-1)\\}\\\\<br>&amp;=&amp;3+\\sum_{k=1}^{n-1} (1+k)\\\\<br>&amp;=&amp;3+\\sum_{k=1}^{n-1} 1+\\sum_{k=1}^{n-1} k<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u03a3\u306e\u516c\u5f0f\\(\\displaystyle \\sum_{k=1}^{n} k=\\frac{1}{2}n(n+1)\\)\u3092\u4f7f\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{n}&amp;=&amp;3+\\sum_{k=1}^{n-1} 1+\\sum_{k=1}^{n-1} k\\\\<br>\\displaystyle &amp;=&amp;3+(n-1)+\\frac{1}{2}(n-1)n\\\\<br>\\displaystyle &amp;=&amp;\\frac{1}{2}n^{2}+\\frac{1}{2}n+2\\\\<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\\[\\displaystyle a_{n}=\\frac{1}{2}n^{2}+\\frac{1}{2}n+2\\]<\/p>\n\n\n\n<p>\\(n=1\\)\u306e\u3068\u304d\\(a_{1}=3\\)\u3068\u306a\u308a\u3001\u521d\u9805\u3067\u3082\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u6570\u5217\u306e\u4e00\u822c\u9805\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle a_{n}=\\frac{1}{2}n^{2}+\\frac{1}{2}n+2\\]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u306e\u548c<\/h3>\n\n\n\n<p><span class=\"huto\">\u6570\u5217\u306e\u9805\u3092\u8db3\u3059\u3053\u3068\u3092\u6570\u5217\u306e\u548c\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u968e\u5dee\u6570\u5217\u306e\u548c\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u521d\u9805\u304b\u3089\u7b2c\\(n\\)\u9805\u307e\u3067\u306e\u548c\u3092\\(S_{n}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=\\sum_{k=1}^{n} a_{k}\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u5b9f\u969b\u306b\u6570\u5b57\u3092\u4f7f\u3063\u3066\u548c\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u968e\u5dee\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u6570\u5217\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>1 , 3 , 7 , 13 , 21 , 31 , 43 \u2026<\/p>\n\n\n\n<p>\u3053\u306e\u6570\u5217\u306e\u968e\u5dee\u6570\u5217\u306f\u300c\u521d\u98052\u3001\u516c\u5dee2\u306e\u7b49\u5dee\u6570\u5217\u300d\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"632\" height=\"236\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u968e\u5dee\u6570\u5217.jpg\" alt=\"\u968e\u5dee\u6570\u5217\" class=\"wp-image-3751\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u968e\u5dee\u6570\u5217.jpg 632w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/01\/\u968e\u5dee\u6570\u5217-300x112.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u307e\u305a\u4e00\u822c\u9805\\(\\{a_{n}\\}\\)\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3092\u601d\u3044\u51fa\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>a_{n}&amp;=&amp;1+\\sum_{k=1}^{n-1} \\{2+2(k-1)\\}\\\\<br>&amp;=&amp;1+\\sum_{k=1}^{n-1} 2k\\\\<br>\\displaystyle &amp;=&amp;1+2 \\cdot \\frac{1}{2}(n-1)n\\\\<br>&amp;=&amp;n^{2}-n+1<br>\\end{eqnarray}<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3053\u308c\u3067({a_{n}})\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u306d\u3002<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u4e00\u822c\u9805\u304c\u5206\u304b\u308c\u3070\u3001\u6570\u5217\u306e\u548c\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u521d\u9805\\(\\{a_{n}\\}\\)\u304b\u3089\u7b2c\\(n\\)\u9805\\(\\{a_{n}\\}\\)\u307e\u3067\u306e\u548c\u306f\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>S_{n}&amp;=&amp;\\sum_{k=1}^{n} a_{k}\\\\<br>&amp;=&amp;\\sum_{k=1}^{n} (n^{2}-n+1)\\\\<br>&amp;=&amp;\\sum_{k=1}^{n} n^{2}-\\sum_{k=1}^{n} n+\\sum_{k=1}^{n} 1\\\\<br>\\displaystyle &amp;=&amp;\\frac{1}{6}n(n+1)(2n+1)-\\frac{1}{2}n(n+1)+n\\\\<br>\\displaystyle &amp;=&amp;\\frac{1}{3}n(n^{2}+2)<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u6570\u5217\u306e\u521d\u9805\u304b\u3089\u7b2c\\(n\\)\u9805\u307e\u3067\u306e\u548c\\(S_{n}\\)\u306f<\/p>\n\n\n\n<p>\\[\\displaystyle S_{n}=\\frac{1}{3}n(n^{2}+2)\\]<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u7b49\u5dee\u6570\u5217\u3084\u7b49\u6bd4\u6570\u5217\u306e\u3088\u3046\u306a\u548c\u306e\u516c\u5f0f\u306f\u306a\u3044\u3093\u3060\u306d<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u305d\u3046\u306a\u3093\u3060\u3088\u3001\u8a08\u7b97\u304c\u5927\u5909\u3060\u3051\u3069\u03a3\u306e\u8a08\u7b97\u3092\u3059\u308b\u3057\u304b\u306a\u3044\u306d<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"sigma\">\u30b7\u30b0\u30de\u306e\u516c\u5f0f\u4e00\u89a7<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u03a3\u306e\u8a08\u7b97\u516c\u5f0f\u4e00\u89a7<\/h3>\n\n\n\n<p>\u03a3\u30b7\u30b0\u30de\u306b\u306f<span class=\"hutoaka\">\u78ba\u5b9f\u306b\u899a\u3048\u305f\u3044\uff15\u3064\u306e\u516c\u5f0f<\/span>\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u03a3\u306e\u8a08\u7b97\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(\\displaystyle 1. \\sum_{k=1}^{n} a=an\\)<\/p>\n\n\n\n<p>\\(\\displaystyle 2. \\sum_{k=1}^{n} k=\\frac{1}{2}n(n+1)\\)<\/p>\n\n\n\n<p>\\(\\displaystyle 3. \\sum_{k=1}^{n} k^{2}=\\frac{1}{6}n(n+1)(2n+1)\\)<\/p>\n\n\n\n<p>\\(\\displaystyle 4. \\sum_{k=1}^{n} k^{3}=\\{\\frac{1}{2}n(n+1)\\}^{2}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle 5. \\sum_{k=1}^{n} ar^{k-1}=\\frac{a(r^{n}-1)}{r-1}=\\frac{a(1-r^{n})}{1-r}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"huto\">\u3069\u308c\u3082\u91cd\u8981\u306a\u516c\u5f0f\u306a\u306e\u3067\u3001\u5fc5\u305a\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3053\u308c\u304b\u3089\u306f\u5f53\u305f\u308a\u524d\u306e\u3088\u3046\u306b\u516c\u5f0f\u3092\u4f7f\u3046\u304b\u3089\u306d<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u03a3\u30b7\u30b0\u30de\u306e\u6027\u8cea<\/h3>\n\n\n\n<p>\u03a3\u30b7\u30b0\u30de\u306e\u8a08\u7b97\u516c\u5f0f\u3068\u5408\u308f\u305b\u3066\u3001\u4ee5\u4e0b\u306e\u6027\u8cea\u3082\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u03a3\u30b7\u30b0\u30de\u306e\u6027<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(p,q\\)\u306f\u5b9a\u6570\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\(\\displaystyle 1.\\sum_{k=1}^{n}(a_{k}+b_{k})=\\sum_{k=1}^{n} a_{k}+\\sum_{k=1}^{n} b_{k}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle 2.\\sum_{k=1}^{n} pa_{k}=p\\sum_{k=1}^{n} a_{k}\\)<\/p>\n\n\n\n<p>1,2\u3088\u308a<\/p>\n\n\n\n<p>\\(\\displaystyle \\sum_{k=1}^{n}(pa_{k}+qb_{k})=p\\sum_{k=1}^{n} a_{k}+q\\sum_{k=1}^{n} b_{k}\\)<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"douga\">\u304a\u3059\u3059\u3081\u52d5\u753b\u300a\u6570\u5217\u300b<\/h2>\n\n\n\n<p>\u300a\u8d85\u308f\u304b\u308b\uff01\u9ad8\u6821\u6570\u5b66\u2161\u30fbB\u300b<br>\u3010\u6570\u5217\u306e\u518d\u751f\u30ea\u30b9\u30c8\u3011<br><iframe loading=\"lazy\" width=\"560\" height=\"315\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/videoseries?list=PLDaIUKhKMpbg8k3JqpwttTPX7saFqSM_Y\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u6570\u5217\u306e\u516c\u5f0f\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f\u6570\u5217\u3092\u7dcf\u5fa9\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u7db2\u7f85\u7684\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span class=\"huto\">\u7b49\u5dee\u6570\u5217<\/span><br>\u21d2\u4e00\u5b9a\u306e\u5dee\u3067\u5909\u5316\u3059\u308b\u6570\u5217<\/li>\n\n\n\n<li><span class=\"huto\">\u7b49\u6bd4\u6570\u5217<\/span><br>\u21d2\u4e00\u5b9a\u306e\u6bd4\u3067\u5909\u5316\u3059\u308b\u6570\u5217<\/li>\n\n\n\n<li><span class=\"huto\">\u968e\u5dee\u6570\u5217<\/span><br>\u21d2\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u96a3\u63a5\u3059\u308b\u9805\u306e\u5dee\u3092\u9805\u3068\u3059\u308b\u6570\u5217<\/li>\n<\/ul>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u5dee\\(d\\)\u306e\u7b49\u5dee\u6570\u5217\u3092\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\(a_{n}=a_{1} + (n-1)d\\)<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u521d\u9805\\(a_{1}\\)\u3001\u516c\u6bd4\\(r\\)\u306e\u7b49\u6bd4\u6570\u5217\\(\\{a_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\(a_{n}=a_{1} \\cdot r^{n-1}\\)<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u968e\u5dee\u6570\u5217\u3068\u4e00\u822c\u9805<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6570\u5217\\(\\{a_{n}\\}\\)\u306e\u968e\u5dee\u6570\u5217\u3092\\(\\{b_{n}\\}\\)\u3068\u3059\u308b\u3068\u3001n\u22672\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[a_{n}=a_{1}+\\sum_{k=1}^{n-1} b_{k}\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u6570\u5217\u306f\u899a\u3048\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u304c\u3001\u554f\u984c\u30d1\u30bf\u30fc\u30f3\u306f\u9650\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u306b\u6163\u308c\u308c\u3070\u3001\u4eca\u56de\u3067\u7d39\u4ecb\u3057\u305f\u516c\u5f0f\u3060\u3051\u3067\u307b\u3068\u3093\u3069\u306e\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u6570\u5217\u4ee5\u5916\u306e\u307e\u3068\u3081\u8a18\u4e8b\u3092\u51fa\u3057\u3066\u3044\u307e\u3059\u3002\u305c\u3072\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u305f\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u308b\u306e\u3067\u3001\u5b9a\u671f\u8a66\u9a13\u524d\u306b\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u305d\u308c\u3067\u306f\u6700\u5f8c\u307e\u3067\u3054\u89a7\u3044\u305f\u3060\u304d\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66B\u306e\u6570\u5217\u306f\u516c\u5f0f\u304c\u591a\u3044\u305f\u3081\u3001\u82e6\u624b\u610f\u8b58\u3092\u6301\u3063\u3066\u3044\u308b\u9ad8\u6821\u751f\u3082\u591a\u3044\u3067\u3059\u3088\u306d\u3002 \u4eca\u56de\u306f\u6570\u5217\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u6570\u5217\u306b\u304a\u3044\u3066\u7279\u306b\u91cd\u8981\u306a\u3082\u306e\u306f\u4ee5\u4e0b\u306e4\u3064\u3067\u3059\u3002 \u672c\u8a18\u4e8b\u3067\u306f\u6570\u5217\u306e\u516c\u5f0f\u3084\u89e3\u304d\u65b9\u306a\u3069\u3092\u5fb9\u5e95\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6337,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[47,225],"tags":[48,14,11],"class_list":["post-6197","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-suuretu","category-math-b","tag-48","tag-b","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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content=\"\u6570\u5b66B\u306e\u6570\u5217\u306f\u516c\u5f0f\u304c\u591a\u3044\u305f\u3081\u3001\u82e6\u624b\u610f\u8b58\u3092\u6301\u3063\u3066\u3044\u308b\u9ad8\u6821\u751f\u3082\u591a\u3044\u3067\u3059\u3088\u306d\u3002 \u4eca\u56de\u306f\u6570\u5217\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u6570\u5217\u306b\u304a\u3044\u3066\u7279\u306b\u91cd\u8981\u306a\u3082\u306e\u306f\u4ee5\u4e0b\u306e4\u3064\u3067\u3059\u3002 \u672c\u8a18\u4e8b\u3067\u306f\u6570\u5217\u306e\u516c\u5f0f\u3084\u89e3\u304d\u65b9\u306a\u3069\u3092\u5fb9\u5e95\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-b\/suuretu-matome\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-24T08:21:35+00:00\" \/>\n<meta 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