{"id":264,"date":"2012-01-12T00:55:58","date_gmt":"2012-01-11T15:55:58","guid":{"rendered":"http:\/\/roundown.main.jp\/nyushi\/?p=264"},"modified":"2021-03-24T09:35:41","modified_gmt":"2021-03-24T00:35:41","slug":"kyr200802","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/kyr200802\/","title":{"rendered":"\u4eac\u5927\u7406\u7cfb\u4e592008\uff1a\u7b2c2\u554f"},"content":{"rendered":"<hr \/>\n<p>\u6b63\u56db\u9762\u4f53 ABCD \u3092\u8003\u3048\u308b.\r\n\u70b9 P \u306f\u6642\u523b \\(0\\) \u3067\u306f\u9802\u70b9 A \u306b\u4f4d\u7f6e\u3057, \\(1\\) \u79d2\u3054\u3068\u306b\u3042\u308b\u9802\u70b9\u304b\u3089\u4ed6\u306e \\(3\\) \u9802\u70b9\u306e\u3044\u305a\u308c\u304b\u306b, \u7b49\u3057\u3044\u78ba\u7387\u3067\u52d5\u304f\u3068\u3059\u308b.\r\n\u3053\u306e\u3068\u304d, \u6642\u523b \\(0\\) \u304b\u3089\u6642\u523b \\(n\\) \u307e\u3067\u306e\u9593\u306b, \\(4\\) \u9802\u70b9 A, B, C, D \u306e\u3059\u3079\u3066\u306b\u70b9 P \u304c\u73fe\u308c\u308b\u78ba\u7387\u3092\u6c42\u3081\u3088.\r\n\u305f\u3060\u3057 \\(n\\) \u306f \\(1\\) \u4ee5\u4e0a\u306e\u6574\u6570\u3068\u3059\u308b.<\/p>\r\n<hr>\r\n<!--more-->\r\n<h4>\u3010 \u89e3 \u7b54 \u3011<\/h4>\r\n<p>\u660e\u3089\u304b\u306b, \\(n = 1, 2\\) \u306e\u3068\u304d, \u78ba\u7387\u306f \\(0\\) .<br \/>\r\n\u4ee5\u4e0b\u3067\u306f, \\(n \\geqq 3\\) \u306e\u3068\u304d\u306b\u3064\u3044\u3066\u8003\u3048\u308b.<br \/>\r\n\u6642\u523b \\(n\\) \u307e\u3067, \\(2\\) \u9802\u70b9\u306e\u307f\u306b\u73fe\u308c\u308b\u78ba\u7387 \\(p _ n\\) \u306f, \\(2\\) \u9802\u70b9\u306e\u9078\u3073\u65b9\u304c \\({} _ {3} \\text{C} {} _ 1 =3\\) \u901a\u308a\u3067\u3042\u308b\u3053\u3068\u304b\u3089\r\n\\[\r\np _ n =3 \\left( \\dfrac{1}{3} \\right)^n\r\n\\]\r\n\u6642\u523b \\(n\\) \u307e\u3067, \\(3\\) \u9802\u70b9\u306e\u307f\u306b\u73fe\u308c\u308b\u78ba\u7387 \\(q _ n\\) \u306f, 3\u9802\u70b9\u306e\u9078\u3073\u65b9\u304c \\({} _ {3} \\text{C} {} _ 2 =3\\) \u901a\u308a\u3067\u3042\u308b\u3053\u3068\u304b\u3089\r\n\\[\\begin{align}\r\nq _ n & = 3 \\left\\{ \\left( \\dfrac{2}{3} \\right)^n -2 \\left( \\dfrac{1}{3} \\right)^n \\right\\} \\\\\r\n& = 3 \\left( \\dfrac{2}{3} \\right)^n -6 \\left( \\dfrac{1}{3} \\right)^n\r\n\\end{align}\\]\r\n\u3088\u3063\u3066, \u6c42\u3081\u308b\u78ba\u7387\u306f, \u3053\u308c\u3089\u306e\u4f59\u4e8b\u8c61\u3092\u8003\u3048\u3066\r\n\\[\\begin{align}\r\n1 -p _ n -q _ n & = 1 -3 \\left( \\dfrac{2}{3} \\right)^n +3 \\left( \\dfrac{1}{3} \\right)^n \\\\\r\n& = \\underline{1 -\\dfrac{2^n-1}{3^{n-1}}}\r\n\\end{align}\\]\r\n\u3053\u308c\u306f, \\(n = 1, 2\\) \u306e\u3068\u304d\u3082\u6e80\u305f\u3057\u3066\u3044\u308b.<\/p>\r\n","protected":false},"excerpt":{"rendered":"\u6b63\u56db\u9762\u4f53 ABCD \u3092\u8003\u3048\u308b. \u70b9 P \u306f\u6642\u523b \\(0\\) \u3067\u306f\u9802\u70b9 A \u306b\u4f4d\u7f6e\u3057, \\(1\\) \u79d2\u3054\u3068\u306b\u3042\u308b\u9802\u70b9\u304b\u3089\u4ed6\u306e \\(3\\) \u9802\u70b9\u306e\u3044\u305a\u308c\u304b\u306b, \u7b49\u3057\u3044\u78ba\u7387\u3067\u52d5\u304f\u3068\u3059\u308b. \u3053\u306e\u3068\u304d, \u6642\u523b \\(0\\) \u304b\u3089\u6642\u523b &hellip; <a href=\"https:\/\/www.roundown.net\/nyushi\/kyr200802\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[49],"tags":[140,16],"class_list":["post-264","post","type-post","status-publish","format-standard","hentry","category-kyoto_r_2008","tag-kyoto_r","tag-16"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/264","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=264"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/264\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}