{"id":11980,"date":"2022-12-30T14:55:58","date_gmt":"2022-12-30T05:55:58","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11980"},"modified":"2023-01-06T08:54:29","modified_gmt":"2023-01-05T23:54:29","slug":"quadratic-sequences","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/quadratic-sequences.html","title":{"rendered":"\u968e\u5dee\u6570\u5217\uff1a\u30b7\u30b0\u30de\u3092\u5229\u7528\u3059\u308b\u516c\u5f0f\u3001\u4e00\u822c\u9805\u306e\u6c42\u3081\u65b9\u3001\u7b2c2\u968e\u5dee\u6570\u5217"},"content":{"rendered":"\n<p>\u6570\u5217\u306b\u306f\u8907\u6570\u306e\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u3082\u91cd\u8981\u306a\u6570\u5217\u306f\u7b49\u5dee\u6570\u5217\u3068\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305f\u3060\u3001\u3053\u308c\u3089\u306e\u6570\u5217\u3092\u77e5\u3063\u3066\u3044\u3066\u3082\u89e3\u3051\u306a\u3044\u554f\u984c\u306f\u591a\u3044\u3067\u3059\u3002<\/p>\n<p>\u7279\u6b8a\u306a\u6570\u5217\u306b\u306f\u8907\u6570\u306e\u7a2e\u985e\u304c\u3042\u308a\u3001\u305d\u306e\u4e00\u3064\u306b\u968e\u5dee\u6570\u5217\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u898b\u3059\u308b\u3068\u898f\u5247\u6027\u306e\u306a\u3044\u6570\u5217\u3067\u3042\u308b\u3082\u306e\u306e\u30012\u3064\u306e\u9805\u306e\u5dee\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u898f\u5247\u6027\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u9805\u6570\u3068\u521d\u9805\u306b\u6c17\u3092\u4ed8\u3051\u3066\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u89e3\u304d\u65b9\u3092\u7406\u89e3\u3057\u3066\u3044\u306a\u3044\u3068\u3001\u968e\u5dee\u6570\u5217\u306e\u7b54\u3048\u3092\u5f97\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u307e\u305f\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u968e\u5dee\u6570\u5217\u30922\u56de\u5229\u7528\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u968e\u5dee\u6570\u5217\u306b\u95a2\u3059\u308b\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u968e\u5dee\u6570\u5217\u306e\u6982\u8981\u3084\u516c\u5f0f\u3001\u4e00\u822c\u9805\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u968e\u5dee\u6570\u5217\u3067\u306f\u4e21\u96a3\u306b\u3042\u308b2\u3064\u306e\u9805\u306e\u5f15\u304d\u7b97\u3092\u3059\u308b<\/h2>\n<p>\u4e00\u898b\u3059\u308b\u3068\u3001\u898f\u5247\u6027\u306e\u306a\u3044\u6570\u5217\u304c\u968e\u5dee\u6570\u5217\u3067\u3059\u3002<span style=\"color: #0000ff;\">\u968e\u5dee\u6570\u5217\u3067\u306f\u3001\u96a3\u308a\u5408\u30462\u3064\u306e\u9805\u306e\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span>\u305d\u3053\u3067\u6570\u5217\\(\\{a_n\\}\\)\u306b\u3064\u3044\u3066\u3001\u968e\u5dee\u6570\u5217\u3092\\(\\{b_n\\}\\)\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u968e\u5dee\u6570\u5217\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(b_n=a_{n+1}-a_n\\)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/cksj4.jpg\" alt=\"\" width=\"700\" height=\"180\" class=\"aligncenter size-full wp-image-11981\" \/><\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u6570\u5217\u306f\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(4,7,12,19,28&#8230;\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u968e\u5dee\u6570\u5217\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/cksj5.jpg\" alt=\"\" width=\"600\" height=\"144\" class=\"aligncenter size-full wp-image-11982\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u78ba\u8a8d\u3059\u308b\u3068\u3001\u968e\u5dee\u6570\u5217\u306f\u521d\u98053\u3001\u516c\u5dee2\u306e\u7b49\u5dee\u6570\u5217\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u968e\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(b_n=3+(n-1)2\\)<\/p>\n<p>\\(b_n=2n+1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u968e\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\\(b_n\\)\u3092\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3057\u3066\u4e00\u822c\u9805\\(a_n\\)\u3092\u5f97\u308b\u516c\u5f0f<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u968e\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\\(b_n\\)\u3092\u5229\u7528\u3057\u3066\\(a_n\\)\u3092\u5f97\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3057\u3066\\(a_n\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u5229\u7528\u3059\u308b\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(a_n=a_1+(b_1+b_2+&#8230;+b_{n-1})\\)<\/p>\n<p>\\(a_n=a_1+\\displaystyle\\sum_{k=1}^{n-1}{b_k}\\)<\/p>\n<p>\u203b\\(n\u22672\\)\u306e\u3068\u304d<\/p>\n<p>\u8a3c\u660e\u65b9\u6cd5\u306f\u7c21\u5358\u3067\u3042\u308a\u3001\u6570\u5217\\(\\{a_n\\}\\)\u3068\u968e\u5dee\u6570\u5217\\(\\{b_n\\}\\)\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3057\u3001\u8db3\u3057\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/djeh3.jpg\" alt=\"\" width=\"700\" height=\"284\" class=\"aligncenter size-full wp-image-11997\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5148\u307b\u3069\u8a18\u3057\u305f\u516c\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(a_n-a_1=(b_1+b_2+&#8230;+b_{n-1})\\)<\/p>\n<p>\\(a_n=a_1+(b_1+b_2+&#8230;+b_{n-1})\\)<\/p>\n<p>\\(a_n=a_1+\\displaystyle\\sum_{k=1}^{n-1}{b_k}\\)<\/p>\n<p>\u968e\u5dee\u6570\u5217\u306e\u516c\u5f0f\u306f\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u9805\u6570\u306b\u6ce8\u610f\u3057\u3066\u8a08\u7b97\u3057\u3001\u521d\u9805\u3092\u78ba\u8a8d\u3059\u308b<\/h3>\n<p>\u306a\u304a<span style=\"color: #0000ff;\">\u8db3\u3057\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\\(b_k\\)\u306e\u9805\u6570\u306f\\(n\\)\u3067\u306f\u306a\u304f\u3001\\(n-1\\)\u307e\u3067\u306e\u9805\u6570\u3092\u8db3\u3059\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u5148\u307b\u3069\u306e\u516c\u5f0f\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\\(a_n=a_1+\\displaystyle\\sum_{k=1}^{\\color{red}{n-1}}{b_k}\\)\u3068\u306a\u3063\u3066\u304a\u308a\u3001\u3053\u308c\u306f\\(k=1\\)\u304b\u3089\\(k=n-1\\)\u307e\u3067\u306e\u548c\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u3082\u3046\u4e00\u3064\u306e\u6ce8\u610f\u70b9\u3068\u3057\u3066\u3001<span style=\"color: #0000ff;\">\\(n\u22672\\)\u3067\u3042\u308a\u3001\\(n=1\\)\u3092\u542b\u307f\u307e\u305b\u3093\u3002<\/span>\u5148\u307b\u3069\u8aac\u660e\u3057\u305f\u901a\u308a\u3001\u30b7\u30b0\u30de\u306e\u8a08\u7b97\u306f\\(k=1\\)\u304b\u3089\\(k=n-1\\)\u307e\u3067\u306e\u548c\u3067\u3042\u308a\u3001\\(n=1\\)\u3060\u3068\u8a08\u7b97\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001<span style=\"color: #ff0000;\">\\(n=1\\)\u304c\u6210\u308a\u7acb\u3064\u304b\u3069\u3046\u304b\u306f\u5225\u9014\u78ba\u8a8d\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/span><\/p>\n<p>\u968e\u5dee\u6570\u5217\u3068\u3044\u3046\u306e\u306f\u3001\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u901a\u308a\u30012\u3064\u306e\u9805\u306e\u5dee\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u9805\u304c\u4e00\u3064\u3067\u306f\u968e\u5dee\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u305f\u3081\u3001\\(n=1\\)\u306e\u5834\u5408\u3068\\(n\u22672\\)\u306e\u5834\u5408\u3092\u5206\u3051\u3066\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u5148\u307b\u3069\u8a18\u3057\u305f\u4ee5\u4e0b\u306e\u6570\u5217\u306b\u3064\u3044\u3066\u3001\\(a_n\\)\u306e\u4e00\u822c\u9805\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/cksj5.jpg\" alt=\"\" width=\"600\" height=\"144\" class=\"aligncenter size-full wp-image-11982\" \/><\/p>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\u968e\u5dee\u6570\u5217\u306e\u4e00\u822c\u9805\u306f\\(b_n=2n+1\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\\(a_n\\)\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\\(a_n=4+\\displaystyle\\sum_{k=1}^{n-1}{(2k+1)}\\)<\/p>\n<p>\\(a_n=4+2\\displaystyle\\sum_{k=1}^{n-1}{k}\\)\\(+\\displaystyle\\sum_{k=1}^{n-1}{1}\\)<\/p>\n<p>\\(a_n=4+2\u00b7\\displaystyle\\frac{1}{2}(n-1)n+(n-1)\\)<\/p>\n<p>\\(a_n=n^2+3\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(n\u22672\\)\u306e\u3068\u304d\u3001\\(a_n=n^2+3\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u306a\u304a\\(n=1\\)\u306e\u3068\u304d\u3001\\(a_1=4\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u4e00\u822c\u9805\u306f\\(n=1\\)\u306e\u3068\u304d\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(a_n=n^2+3\\)\u3067\u3059\u3002<\/p>\n<p>\\(n=1\\)\u306e\u3068\u304d\u3082\u4e00\u822c\u9805\u304c\u6210\u308a\u7acb\u3064\u304b\u3069\u3046\u304b\u78ba\u8a8d\u3057\u306a\u3051\u308c\u3070\u3001\u3059\u3079\u3066\u306e\u81ea\u7136\u6570\\(n\\)\u306b\u3064\u3044\u3066\u3001\u4e00\u822c\u9805\\(a_n\\)\u304c\u6210\u308a\u7acb\u3064\u304b\u3069\u3046\u304b\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u968e\u5dee\u6570\u5217\u3067\u306f\u3001\u3053\u306e\u78ba\u8a8d\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<h2>\u7b2c2\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3057\u3066\u4e00\u822c\u9805\u3092\u5f97\u308b<\/h2>\n<p>\u306a\u304a\u968e\u5dee\u6570\u5217\u306e\u8a08\u7b97\u3067\u306f\u3001\u968e\u5dee\u6570\u5217\u30922\u56de\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u4e00\u822c\u9805\\(a_n\\)\u3092\u5f97\u3089\u308c\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u4e00\u56de\u76ee\u306e\u968e\u5dee\u6570\u5217\\(b_n\\)\u3067\u898f\u5247\u6027\u3092\u5f97\u3089\u308c\u306a\u3044\u5834\u5408\u3001\u3055\u3089\u306b\u968e\u5dee\u6570\u5217\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u968e\u5dee\u6570\u5217\\(c_n\\)\u3092\u7b2c2\u968e\u5dee\u6570\u5217\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/djeh5.jpg\" alt=\"\" width=\"700\" height=\"186\" class=\"aligncenter size-full wp-image-12000\" \/><\/p>\n<p>\u7b2c2\u968e\u5dee\u6570\u5217\\(c_n\\)\u3092\u5229\u7528\u3057\u3066\u4e00\u822c\u9805\u3092\u5f97\u308b\u65b9\u6cd5\u306f\u3053\u308c\u307e\u3067\u89e3\u8aac\u3057\u305f\u516c\u5f0f\u3068\u540c\u3058\u3067\u3042\u308a\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(b_n=b_1+\\displaystyle\\sum_{k=1}^{n-1}{c_k}\\)<\/li>\n<\/ul>\n<p>\u203b\\(n\u22672\\)\u306e\u3068\u304d<\/p>\n<p>\u968e\u5dee\u6570\u5217\u3067\u3042\u308b\u305f\u3081\u3001\u9805\u6570\u306f\\(n-1\\)\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(n\u22672\\)\u306e\u3068\u304d\u306b\u6210\u308a\u7acb\u3064\u516c\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\\(n=1\\)\u306e\u3068\u304d\u306e\u78ba\u8a8d\u3092\u5fc5\u305a\u884c\u308f\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<h3>\u7b2c2\u968e\u5dee\u6570\u5217\u306e\u7df4\u7fd2\u554f\u984c<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u7b2c2\u968e\u5dee\u6570\u5217\u306e\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u6570\u5217\u306e\u4e00\u822c\u9805\\(\\{a_n\\}\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(0,6,24,60,120,210&#8230;\\)<\/li>\n<\/ul>\n<p>\u968e\u5dee\u6570\u5217\\(\\{b_n\\}\\)\u3068\u7b2c2\u968e\u5dee\u6570\u5217\\(\\{c_n\\}\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/djeh6.jpg\" alt=\"\" width=\"600\" height=\"211\" class=\"aligncenter size-full wp-image-12002\" \/><\/p>\n<p>\u7b2c2\u968e\u5dee\u6570\u5217\\(\\{c_n\\}\\)\u306f\u521d\u980512\u3001\u516c\u5dee6\u306e\u7b49\u5dee\u6570\u5217\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u822c\u9805\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(c_n=12+(n-1)6\\)<\/p>\n<p>\\(c_n=6n+6\\)<\/p>\n<p>\u6b21\u306b\u3001\u968e\u5dee\u6570\u5217\\(\\{b_n\\}\\)\u306e\u4e00\u822c\u9805\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(b_n=6+\\displaystyle\\sum_{k=1}^{n-1}{(6k+6)}\\)<\/p>\n<p>\\(b_n=6+6\u00b7\\displaystyle\\frac{1}{2}(n-1)n\\)\\(+6(n-1)\\)<\/p>\n<p>\\(b_n=3n^2+3n\\)<\/p>\n<p>\\(n=1\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\\(b_1=6\\)\u3067\u3042\u308a\u3001\\(n=1\\)\u306e\u3068\u304d\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u822c\u9805\u306f\\(b_n=3n^2+3n\\)\u3067\u3059\u3002\u305d\u3053\u3067\\(b_n\\)\u3092\u5229\u7528\u3057\u3066\\(a_n\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a_n=0+\\displaystyle\\sum_{k=1}^{n-1}{(3k^2+3k)}\\)<\/p>\n<p>\\(a_n=3\u00b7\\displaystyle\\frac{1}{6}(n-1)n(2n-1)\\)\\(+3\u00b7\\displaystyle\\frac{1}{2}(n-1)n\\)<\/p>\n<p>\\(a_n=\\displaystyle\\frac{1}{2}(n-1)n(2n-1)\\)\\(+\\displaystyle\\frac{3}{2}(n-1)n\\)<\/p>\n<p>\\(a_n=\\displaystyle\\frac{1}{2}(n-1)n(2n-1+3)\\)<\/p>\n<p>\\(a_n=\\displaystyle\\frac{1}{2}(n-1)n(2n+2)\\)<\/p>\n<p>\\(a_n=(n-1)n(n+1)\\)<\/p>\n<p>\\(n=1\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\\(a_1=0\\)\u3067\u3042\u308a\u3001\\(n=1\\)\u306e\u3068\u304d\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u822c\u9805\u306f\\(a_n=(n-1)n(n+1)\\)\u3067\u3059\u3002\u3053\u3046\u3057\u3066\u3001\u7b2c2\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u4e00\u822c\u9805\\(a_n\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u3066\u4e00\u822c\u9805\u3092\u5f97\u308b<\/h2>\n<p>\u6570\u5217\u3092\u78ba\u8a8d\u3057\u3066\u898f\u5247\u6027\u3092\u78ba\u8a8d\u3067\u304d\u306a\u3044\u5834\u5408\u3001\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u30022\u3064\u306e\u9805\u306e\u5dee\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u898f\u5247\u6027\u3092\u898b\u3064\u3051\u3089\u308c\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u30012\u56de\u306e\u968e\u5dee\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u898f\u5247\u6027\u3092\u5f97\u3089\u308c\u308b\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u968e\u5dee\u6570\u5217\u3092\u7528\u3044\u3066\u4e00\u822c\u9805\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u3068\u304d\u3001\u9805\u6570\u304c\\(n-1\\)\u306b\u306a\u308b\u3053\u3068\u306b\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u968e\u5dee\u6570\u5217\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3064\u306e\u306f\\(n\u22672\\)\u306e\u3068\u304d\u3067\u3059\u3002\u305d\u3053\u3067\u3001\\(n=1\\)\u306e\u3068\u304d\u3082\u6210\u308a\u7acb\u3064\u304b\u3069\u3046\u304b\u5fc5\u305a\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\\(n\u22672\\)\u3092\u8003\u616e\u305b\u305a\u306b\u968e\u5dee\u6570\u5217\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u9593\u9055\u3044\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u968e\u5dee\u6570\u5217\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u72ec\u81ea\u306e\u6ce8\u610f\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u3092\u628a\u63e1\u3057\u3001\u516c\u5f0f\u3092\u6d3b\u7528\u3057\u3066\u4e00\u822c\u9805\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5217\u306b\u306f\u8907\u6570\u306e\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u3082\u91cd\u8981\u306a\u6570\u5217\u306f\u7b49\u5dee\u6570\u5217\u3068\u7b49\u6bd4\u6570\u5217\u3067\u3059\u3002\u305f\u3060\u3001\u3053\u308c\u3089\u306e\u6570\u5217\u3092\u77e5\u3063\u3066\u3044\u3066\u3082\u89e3\u3051\u306a\u3044\u554f\u984c\u306f\u591a\u3044\u3067\u3059\u3002 \u7279\u6b8a\u306a\u6570\u5217\u306b\u306f\u8907\u6570\u306e\u7a2e\u985e\u304c\u3042\u308a\u3001\u305d\u306e\u4e00\u3064\u306b\u968e\u5dee\u6570\u5217\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u898b\u3059\u308b\u3068\u898f\u5247\u6027\u306e\u306a\u3044\u6570\u5217\u3067\u3042 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12003,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11980","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11980","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=11980"}],"version-history":[{"count":8,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11980\/revisions"}],"predecessor-version":[{"id":12107,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11980\/revisions\/12107"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12003"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}