{"width":"100%","provider_name":"Hatena Blog","url":"https://all-for-nothing.com/entry/2020/12/20/234014","categories":["\u6570\u5b66"],"blog_url":"https://all-for-nothing.com/","provider_url":"https://hatena.blog","author_name":"all_for_nothing","height":"190","image_url":null,"version":"1.0","published":"2020-12-20 23:40:14","blog_title":"\u7a7a\u8ad6\u4e0a\u306e\u7802\u3001\u697c\u95a3\u4e0a\u306e\u673a\u3002","author_url":"https://blog.hatena.ne.jp/all_for_nothing/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fall-for-nothing.com%2Fentry%2F2020%2F12%2F20%2F234014\" title=\"\u671b\u9060\u93e1\u548c\u306b\u3088\u308b (\u7b49\u5dee)\u00d7(\u7b49\u6bd4) \u578b\u6570\u5217\u306e\u548c\u306e\u5c0e\u51fa - \u7a7a\u8ad6\u4e0a\u306e\u7802\u3001\u697c\u95a3\u4e0a\u306e\u673a\u3002\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","description":"\u6570\u5217 $\\lbrace (ak+b)r ^ k\\rbrace$ (\u305f\u3060\u3057 $r\\neq1$ \u3068\u3059\u308b) \u306e\u548c $$S _ n=\\sum _ {k=1} ^ n(ak+b)r ^ k$$ \u3092\u6c42\u3081\u308b\u3053\u3068\u3092\u3088\u304f\u8003\u3048\u308b\u6a5f\u4f1a\u304c\u3042\u308a\u307e\u3059. \u4e00\u822c\u7684\u306b\u306f\u300c\u516c\u6bd4\u3092\u639b\u3051\u3066\u5dee\u3092\u53d6\u308b\u300d\u3068\u3044\u3046\u65b9\u6cd5\u304c\u7d39\u4ecb\u3055\u308c\u3066\u3044\u307e\u3059\u304c, \u3053\u308c\u306f\u6dfb\u5b57\u306e\u7ba1\u7406\u304c\u975e\u5e38\u306b (\u7279\u306b\u9ad8\u6821\u6570\u5b66\u306f 1-based \u306a\u306e\u3067) \u3084\u3084\u3053\u3057\u304f, \u3080\u3057\u308d\u671b\u9060\u93e1\u548c\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5*1\u3092\u7528\u3044\u308b\u306e\u304c\u8a08\u7b97\u30df\u30b9\u3082\u5c11\u306a\u304f\u6e08\u307f\u307e\u3059. \u4eca\u3082\u3057 $$(ak+b)r ^ k=F(k+1)-F(k)$$ \u306a\u308b\u95a2\u6570 $F(k)$*2 \u304c\u898b\u3064\u304b\u308c\u3070 $$S _ n=F(n+1)-F(1)$$ \u2026","type":"rich","title":"\u671b\u9060\u93e1\u548c\u306b\u3088\u308b (\u7b49\u5dee)\u00d7(\u7b49\u6bd4) \u578b\u6570\u5217\u306e\u548c\u306e\u5c0e\u51fa"}