{"id":12163,"date":"2023-01-10T13:57:13","date_gmt":"2023-01-10T04:57:13","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12163"},"modified":"2023-01-16T08:34:06","modified_gmt":"2023-01-15T23:34:06","slug":"recurrence-relation-6","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/recurrence-relation-6.html","title":{"rendered":"\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\uff1a\u4ea4\u70b9\u3084\u5186\u3001\u4e09\u89d2\u5f62\u306e\u76f8\u4f3c\u3092\u5229\u7528\u3059\u308b\u89e3\u304d\u65b9"},"content":{"rendered":"\n<p>\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u56f3\u5f62\u306e\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u524d\u306e\u7d50\u679c\u3092\u5229\u7528\u3057\u3066\u3001\u65b0\u305f\u306a\u7d50\u679c\u3092\u5f97\u3089\u308c\u308b\u65b9\u6cd5\u304c\u6f38\u5316\u5f0f\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u56f3\u5f62\u3067\u306f\u3001\u56f3\u5f62\u306e\u6570\u304c\u5897\u3048\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u6f38\u5316\u5f0f\u306f\u89e3\u304d\u65b9\u304c\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002\u56f3\u5f62\u3067\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u3067\u3042\u3063\u3066\u3082\u3001\u89e3\u304d\u65b9\u3092\u77e5\u3063\u3066\u3044\u308c\u3070\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3057\u3001\u89e3\u304d\u65b9\u3092\u77e5\u3089\u306a\u3051\u308c\u3070\u7b54\u3048\u3092\u5f97\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002<\/p>\n<p>\u305d\u306e\u305f\u3081\u56f3\u5f62\u3067\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u304d\u3001\u4e8b\u524d\u306b\u89e3\u7b54\u65b9\u6cd5\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u89e3\u304d\u65b9\u3092\u4e88\u60f3\u305b\u305a\u306b\u8a08\u7b97\u3057\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u304c\u7d44\u307f\u5408\u308f\u3055\u3063\u3066\u3044\u308b\u554f\u984c\u306f\u3069\u306e\u3088\u3046\u306b\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u56f3\u3092\u63cf\u304d\u3001\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u6570\u5b66\u3067\u56f3\u5f62\u306e\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u3001\u5927\u307e\u304b\u306b\u3067\u3082\u3044\u3044\u306e\u3067\u3001\u56f3\u3092\u63cf\u304f\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3057\u306a\u3051\u308c\u3070\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u304f\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002<\/p>\n<p>\u6f38\u5316\u5f0f\u3067\u306f\u3001\u56f3\u5f62\u304c\u5897\u3048\u3066\u3044\u304d\u307e\u3059\u3002\u3053\u306e\u3068\u304d\\(n=1\\)\u3001\\(n=2\\)\u3001\\(n=3\\)\u306e\u3068\u304d\u306e\u56f3\u5f62\u3092\u63cf\u304d\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u306e\u95a2\u4fc2\u3092\u628a\u63e1\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u7279\u306b\u91cd\u8981\u306a\u306e\u306f\u3001\\(n=1\\)\u306e\u56f3\u5f62\u3068\\(n=2\\)\u306e\u56f3\u5f62\u3067\u3059\u3002\u6f38\u5316\u5f0f\u3067\u306f\u3001\u4e00\u3064\u524d\u306e\u7d50\u679c\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067<span style=\"color: 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loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh3.jpg\" alt=\"\" width=\"600\" height=\"277\" class=\"aligncenter size-full wp-image-12164\" \/><\/p>\n<p>\u3053\u306e\u7d50\u679c\u304b\u3089\u8aad\u307f\u53d6\u308c\u308b\u3053\u3068\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002\u76f4\u7dda\u306e\u6570\u304c\\(n\\)\u304b\u3089\\(n+1\\)\u306b\u5897\u3048\u308b\u3068\u304d\u3001\u9818\u57df\u306e\u6570\u306f\\(n+1\\)\u500b\u5897\u3048\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u6027\u8cea\u3092\u5229\u7528\u3057\u3066\u6f38\u5316\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002\u9818\u57df\u6570\u3092\\(a_n\\)\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a_{n+1}=a_n+(n+1)\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306b\u78ba\u8a8d\u3059\u308b\u3068\u3001\u306a\u305c\u56f3\u3092\u63cf\u304b\u306a\u3044\u3068\u5f0f\u3092\u4f5c\u308c\u306a\u3044\u306e\u304b\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u306a\u304a<span style=\"color: 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wp-image-12165\" \/><\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u9818\u57df\u6570\\(a_n\\)\u306b\u5bfe\u3057\u3066\\(2n\\)\u3092\u52a0\u3048\u308b\u3068\u3001\u65b0\u305f\u306a\u9818\u57df\u6570\\(a_{n+1}\\)\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a_{n+1}=a_n+2n\\)<\/li>\n<\/ul>\n<p>\u3053\u308c\u304c\u3001\u7dda\u3068\u56f3\u5f62\u3092\u5229\u7528\u3057\u3066\u9818\u57df\u306e\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n<h3>\u63a5\u3059\u308b\u56f3\u5f62\u3068\u9577\u3055\u30fb\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b<\/h3>\n<p>\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u3067\u306f\u3001\u7dda\u306e\u9577\u3055\u3084\u56f3\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u30b1\u30fc\u30b9\u3082\u3042\u308a\u307e\u3059\u3002\u7dda\u3084\u5186\u304c\u4e92\u3044\u306b\u63a5\u3059\u308b\u3068\u304d\u3001\u7dda\u306e\u9577\u3055\u3084\u9762\u7a4d\u304c\u554f\u308f\u308c\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u5186\u3068\u591a\u89d2\u5f62\u3067\u306f\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u306e\u65b9\u91dd\u304c\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5186\u3067\u306f\u3001\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u30672\u3064\u306e\u5186\u306e\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u56f3\u306b\u3064\u3044\u3066\u3001\u5186A\u3068\u5186B\u306e\u534a\u5f84\u3092\u305d\u308c\u305e\u308c\\(r_a\\)\u3001\\(r_B\\)\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3084\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u8fba\u306e\u9577\u3055\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh5.jpg\" alt=\"\" width=\"484\" height=\"269\" class=\"aligncenter size-full wp-image-12166\" \/><\/p>\n<p>\u307e\u305f\u8fba\u306e\u9577\u3055\u304c\u308f\u304b\u308c\u3070\u3001\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u4e00\u65b9\u3067\u591a\u89d2\u5f62\u3067\u306f\u3001\u76f8\u4f3c\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8fba\u306e\u9577\u3055\u3084\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh6.jpg\" alt=\"\" width=\"499\" height=\"227\" class=\"aligncenter size-full wp-image-12167\" \/><\/p>\n<p>\u3053\u3046\u3057\u305f\u65b9\u91dd\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u56f3\u5f62\u3092\u5229\u7528\u3057\u3066\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u56f3\u5f62\u3092\u63cf\u304d\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308b<\/h2>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3067\u4e00\u822c\u9805\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u5e73\u9762\u4e0a\u306b\u76f4\u7dda\u3092\\(n\\)\u672c\u5f15\u304d\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u306e\u7dda\u306f\u5e73\u884c\u3067\u306f\u306a\u304f\u3001\u4ea4\u70b9\u3067\u306f2\u672c\u306e\u7dda\u306e\u307f\u304c\u4ea4\u308f\u308a\u307e\u3059\u3002\\(n\\)\u672c\u306e\u76f4\u7dda\u306b\u3088\u3063\u3066\u4f5c\u3089\u308c\u308b\u4ea4\u70b9\u306e\u6570\u3092\\(a_n\\)\u3068\u3059\u308b\u3068\u304d\u3001\\(a_n\\)\u3092\\(n\\)\u306e\u5f0f\u3067\u8868\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u56f3\u3092\u4f5c\u308a\u307e\u3059\u3002\u5148\u307b\u3069\u3001\u76f4\u7dda\u3092\u5229\u7528\u3057\u3066\u9818\u57df\u306e\u6570\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u554f\u984c\u6587\u3067\u306f\u3001\u9818\u57df\u306e\u6570\u3067\u306f\u306a\u304f\u4ea4\u70b9\u306e\u6570\u304c\u554f\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ea4\u70b9\u306e\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/djwh8.jpg\" alt=\"\" width=\"600\" height=\"206\" class=\"aligncenter size-full wp-image-12170\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u78ba\u8a8d\u3059\u308b\u3068\u3001\\(n\\)\u304b\u3089\\(n+1\\)\u3078\u5909\u5316\u3059\u308b\u3068\u304d\u3001\u4ea4\u70b9\u306e\u6570\\(a_n\\)\u306b\u5bfe\u3057\u3066\\(n\\)\u3092\u8db3\u3059\u5fc5\u8981\u304c\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(a_{n+1}=a_n+n\\)<\/p>\n<p>\\(a_{n+1}-a_n=n\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u968e\u5dee\u6570\u5217\u578b\u306e\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a_n=a_1+\\displaystyle\\sum_{k=1}^{n-1}{k}\\)<\/p>\n<p>\\(a_n=0+\\displaystyle\\frac{1}{2}(n-1)n\\)<\/p>\n<p>\\(a_n=\\displaystyle\\frac{1}{2}(n-1)n\\)<\/p>\n<p>\u306a\u304a\\(n=1\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(a_1=\\displaystyle\\frac{1}{2}(1-1)\u00b71\\)\\(=0\\)\u3067\u3059\u3002\\(n=1\\)\u306e\u3068\u304d\u3082\u6210\u308a\u7acb\u3064\u305f\u3081\u3001\\(a_n=\\displaystyle\\frac{1}{2}(n-1)n\\)\u3067\u3059\u3002<\/p>\n<h3>\u76f8\u4f3c\u3092\u5229\u7528\u3057\u3066\u4e00\u822c\u9805\u3092\u5f97\u308b<\/h3>\n<p>\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u306b\u95a2\u308f\u308b\u307b\u304b\u306e\u7df4\u7fd2\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>O\\((0,0)\\)\u3001A\\((4,0)\\)\u3001B\\((4,2)\\)\u3092\u9802\u70b9\u3068\u3059\u308b\u4e09\u89d2\u5f62\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6b63\u65b9\u5f62\u3092\u9806\u306b\u5185\u63a5\u3055\u305b\u307e\u3059\u3002\\(n\\)\u756a\u76ee\u306e\u6b63\u65b9\u5f62\u306b\u3064\u3044\u3066\u3001\u4e00\u7247\u306e\u9577\u3055\u3092\\(a_n\\)\u3001\u9762\u7a4d\u3092\\(S_n\\)\u3068\u3057\u307e\u3059\u3002\u6570\u5217\\(\\{a_n\\}\\)\u306b\u3064\u3044\u3066\u6f38\u5316\u5f0f\u3092\u4f5c\u6210\u3057\u3001\u4e00\u822c\u9805\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u3001\u6b63\u65b9\u5f62\u306e\u9762\u7a4d\u3092\\(S_1\\)\u304b\u3089\\(S_n\\)\u307e\u3067\u8db3\u3059\u3068\u304d\u306e\u7b54\u3048\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/dgh2.jpg\" alt=\"\" width=\"600\" height=\"380\" class=\"aligncenter size-full wp-image-12175\" \/><\/p>\n<p>\u307e\u305a\u3001\u521d\u9805\\(a_1\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3001\u4e09\u89d2\u5f62\u3092\u5229\u7528\u3057\u3066\u9577\u3055\u3092\u8a18\u5165\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/dgh3.jpg\" alt=\"\" width=\"600\" height=\"333\" class=\"aligncenter size-full wp-image-12176\" \/><\/p>\n<p>\u25b3OAB\u3068\\(a_1\\)\u3092\u5e95\u8fba\u3068\u3059\u308b\u4e09\u89d2\u5f62\u306f\u76f8\u4f3c\u3067\u3059\u3002\u307e\u305f\\(OA=4\\)\u3001\\(AB=2\\)\u3067\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(4:2=a_1:2-a_1\\)<\/p>\n<p>\\(2a_1=8-4a_1\\)<\/p>\n<p>\\(6a_1=8\\)<\/p>\n<p>\\(a_1=\\displaystyle\\frac{4}{3}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u521d\u9805\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\\(a_n\\)\u3068\\(a_{n+1}\\)\u306b\u7740\u76ee\u3057\u307e\u3057\u3087\u3046\u3002\u56f3\u3092\u4f5c\u308b\u3068\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\/2023\/01\/dgh5.jpg\" alt=\"\" width=\"600\" height=\"379\" class=\"aligncenter size-full wp-image-12178\" \/><\/p>\n<p>\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u3068\u540c\u69d8\u306b\u76f8\u4f3c\u3092\u5229\u7528\u3057\u3066\u5f0f\u3092\u4f5c\u308a\u307e\u3059\u3002<\/p>\n<p>\\(4:2=a_{n+1}:a_n-a_{n+1}\\)<\/p>\n<p>\\(2a_{n+1}=4a_n-4a_{n+1}\\)<\/p>\n<p>\\(6a_{n+1}=4a_n\\)<\/p>\n<p>\\(a_{n+1}=\\displaystyle\\frac{2}{3}a_n\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u6570\u5217\\(\\{a_n\\}\\)\u306f\u521d\u9805\\(\\displaystyle\\frac{4}{3}\\)\u3001\u516c\u6bd4\\(\\displaystyle\\frac{2}{3}\\)\u306e\u7b49\u6bd4\u6570\u5217\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e00\u822c\u9805\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a_n=\\displaystyle\\frac{4}{3}\u00b7\\left(\\displaystyle\\frac{2}{3}\\right)^{n-1}\\)<\/li>\n<\/ul>\n<p>\u4e00\u822c\u9805\u3092\u5f97\u305f\u3089\u3001\u6b21\u306b\u9762\u7a4d\u306e\u8a08\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u30022\u3064\u306e\u8fba\u3092\u304b\u3051\u308c\u3070\u9762\u7a4d\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\\(S_n\\)\u306e\u4e00\u822c\u9805\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(S_n=\\displaystyle\\frac{4}{3}\u00b7\\left(\\displaystyle\\frac{2}{3}\\right)^{n-1}\\)\\(\u00d7\\displaystyle\\frac{4}{3}\u00b7\\left(\\displaystyle\\frac{2}{3}\\right)^{n-1}\\)<\/p>\n<p>\\(S_n=\\displaystyle\\frac{16}{9}\u00b7\\left(\\displaystyle\\frac{4}{9}\\right)^{n-1}\\)<\/p>\n<p>\u6b63\u65b9\u5f62\u306e\u9762\u7a4d\u3092\\(S_1\\)\u304b\u3089\\(S_n\\)\u307e\u3067\u8db3\u3059\u3068\u304d\u3001\u8a08\u7b97\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\sum_{k=1}^{n}{S_k}\\)\\(=\\displaystyle\\frac{\\displaystyle\\frac{16}{9}\\left\\{1-\\left(\\displaystyle\\frac{4}{9}\\right)^{n}\\right\\}}{1-\\displaystyle\\frac{4}{9}}\\)<\/p>\n<p>\\(=\\displaystyle\\frac{16}{5}-\\displaystyle\\frac{16}{5}\\left(\\displaystyle\\frac{4}{9}\\right)^n\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u56f3\u3092\u4f5c\u308a\u3001\u76f8\u4f3c\u3092\u5229\u7528\u3059\u308c\u3070\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u56f3\u5f62\u3092\u4f5c\u308a\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u6210\u3059\u308b<\/h2>\n<p>\u56f3\u5f62\u3068\u6f38\u5316\u5f0f\u306b\u95a2\u3059\u308b\u554f\u984c\u3067\u306f\u3001\u8a08\u7b97\u904e\u7a0b\u306f\u7c21\u5358\u3067\u3059\u3002\u305f\u3060\u56f3\u5f62\u3092\u5229\u7528\u3057\u3066\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u3069\u306e\u3088\u3046\u306a\u65b9\u91dd\u3067\u5f0f\u3092\u4f5c\u308c\u3070\u3044\u3044\u306e\u304b\u77e5\u3063\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6570\u5217\u3067\u306f\u5fc5\u305a\u6cd5\u5247\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u5b9f\u969b\u306b\u56f3\u3092\u4f5c\u308a\u3001\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u76f8\u4f3c\u3092\u5229\u7528\u3057\u305f\u308a\u3001\u4e2d\u5fc3\u9593\u306e\u8ddd\u96e2\u3092\u7528\u3044\u305f\u308a\u3059\u308b\u3053\u3068\u3067\u5f0f\u3092\u4f5c\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u3001\u56f3\u306b\u9577\u3055\u3084\u9762\u7a4d\u3092\u8a18\u5165\u3059\u308b\u3053\u3068\u3067\u3001\\(n\\)\u3092\\(n+1\\)\u306b\u5909\u3048\u308b\u3068\u304d\u3001\u3069\u306e\u3088\u3046\u306a\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u308b\u306e\u304b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u56f3\u5f62\u306e\u554f\u984c\u3067\u6700\u3082\u91cd\u8981\u306a\u306e\u306f\u3001\u521d\u9805\u3092\u8a08\u7b97\u3057\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308c\u308b\u3053\u3068\u3067\u3059\u3002\u56f3\u3092\u4f5c\u6210\u3057\u3001\u6f38\u5316\u5f0f\u3092\u4f5c\u308b\u305f\u3081\u306e\u65b9\u91dd\u3092\u7acb\u3066\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u56f3\u5f62\u306e\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u524d\u306e\u7d50\u679c\u3092\u5229\u7528\u3057\u3066\u3001\u65b0\u305f\u306a\u7d50\u679c\u3092\u5f97\u3089\u308c\u308b\u65b9\u6cd5\u304c\u6f38\u5316\u5f0f\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3059\u308b\u56f3\u5f62\u3067\u306f\u3001\u56f3\u5f62\u306e\u6570\u304c\u5897\u3048\u3066\u3044\u304d\u307e\u3059\u3002 \u6f38\u5316\u5f0f\u306f\u89e3\u304d\u65b9\u304c\u6c7a\u307e\u3063 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12181,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-12163","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\/12163","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=12163"}],"version-history":[{"count":10,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12163\/revisions"}],"predecessor-version":[{"id":12274,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12163\/revisions\/12274"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12181"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=12163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=12163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=12163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}