{"id":5041,"date":"2025-12-05T10:00:34","date_gmt":"2025-12-05T01:00:34","guid":{"rendered":"https:\/\/winroadrikeijyuku.com\/oita\/?p=5041"},"modified":"2025-12-03T14:29:21","modified_gmt":"2025-12-03T05:29:21","slug":"2020%e5%a4%a7%e5%88%86%e5%a4%a7%e5%ad%a6%e5%8c%bb%e5%ad%a6%e9%83%a8%e3%83%95%e3%82%a3%e3%83%9c%e3%83%8a%e3%83%83%e3%83%81%e6%95%b0%e5%88%97-%e5%a4%a7%e5%88%86%e5%b8%82-%e5%a4%a7%e5%ad%a6%e5%8f%97","status":"publish","type":"post","link":"https:\/\/winroadrikeijyuku.com\/oita\/2025\/12\/05\/2020%e5%a4%a7%e5%88%86%e5%a4%a7%e5%ad%a6%e5%8c%bb%e5%ad%a6%e9%83%a8%e3%83%95%e3%82%a3%e3%83%9c%e3%83%8a%e3%83%83%e3%83%81%e6%95%b0%e5%88%97-%e5%a4%a7%e5%88%86%e5%b8%82-%e5%a4%a7%e5%ad%a6%e5%8f%97\/","title":{"rendered":"2020\u5927\u5206\u5927\u5b66\u533b\u5b66\u90e8(\u30d5\u30a3\u30dc\u30ca\u30c3\u30c1\u6570\u5217) | \u5927\u5206\u5e02 \u5927\u5b66\u53d7\u9a13 \u6570\u5b66 \u587e | \u5927\u5206\u7406\u7cfb\u5c02\u9580\u587eWINROAD"},"content":{"rendered":"

\u554f\u984c<\/p>\n

\u968e\u6bb5\u3092\u4e0a\u308b\u3068\u304d\u3001\u4e00\u5ea6\u306b\u4e0a\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u6bb5\u6570\u306f\uff11\u6bb5\u307e\u305f\u306f\uff12\u6bb5\u306e\u307f\u3067\u3042\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d<\/p>\n

\u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u306a\u3055\u3044\u3002<\/p>\n

(1) \u3061\u3087\u3046\u306910\u6bb5\u4e0a\u308b\u65b9\u6cd5\u306f\u5168\u90e8\u3067\u4f55\u901a\u308a\u3042\u308b\u304b\u7b54\u3048\u306a\u3055\u3044\u3002<\/p>\n

(2) n\u3092\u6b63\u306e\u6574\u6570\u3068\u3059\u308b\u3002\u3061\u3087\u3046\u3069n\u6bb5\u4e0a\u308b\u65b9\u6cd5\u306f\u5168\u90e8\u3067\u4f55\u901a\u308a\u3042\u308b\u304b\u3092\u7b54\u3048\u306a\u3055\u3044\u3002<\/p>\n

\n

(1)\u3000\u307e\u305a\u306f\uff12\u6bb5\u3067\u4e0a\u308b\u56de\u6570\u3067\u5206\u3051\u3066\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n

\uff12\u6bb5\u304c\uff15\u56de\u306e\u6642\u3000\u3053\u308c\u306f\uff11\u901a\u308a<\/p>\n

\uff12\u6bb5\u304c\uff14\u56de\u306e\u6642\u3000\uff11\u6bb5\u304c\uff12\u56de\u3068\u306a\u308b\u306e\u3067\u3000\u200b\\( _6C_2=\\dfrac{6\\cdot5}{2\\cdot1}=15 \\)<\/span>\u200b\u901a\u308a<\/p>\n

\uff12\u6bb5\u304c\uff13\u56de\u306e\u6642\u3000\uff11\u6bb5\u304c\uff14\u56de\u3068\u306a\u308b\u306e\u3067\u3000\u200b\\( _7C_4=_7C_3=\\dfrac{7\\cdot6\\cdot5}{3\\cdot2\\cdot1}=35 \\)<\/span>\u200b\u901a\u308a<\/p>\n

\uff12\u6bb5\u304c\uff12\u56de\u306e\u6642\u3000\uff11\u6bb5\u304c\uff16\u56de\u3068\u306a\u308b\u306e\u3067\u3000\u200b\\( _8C_6=_8C_2=\\dfrac{8\\cdot7}{2\\cdot1}=28 \\)<\/span>\u200b\u901a\u308a<\/p>\n

\uff12\u6bb5\u304c\uff11\u56de\u306e\u6642\u3000\uff11\u6bb5\u304c\uff18\u56de\u3068\u306a\u308b\u306e\u3067\u3000\u200b\\( _9C_8=_9C_1=9 \\)<\/span>\u200b\u901a\u308a<\/p>\n

\uff11\u6bb5\u306e\u307f\u306e\u6642\u3000\u3053\u308c\u3082\uff11\u901a\u308a<\/p>\n

\u4ee5\u4e0a\u3088\u308a\u30001+15+35+28+9+1=89\u901a\u308a<\/p>\n

 <\/p>\n

(2) \u3061\u3087\u3046\u3069n\u6bb5\u4e0a\u308b\u3068\u304d\u200b\\( a_n \\)<\/span>\u200b\u901a\u308a\u3068\u3059\u308b\u3002<\/p>\n

\u3061\u3087\u3046\u3069n+2\u6bb5\u4e0a\u306b\u306fn+1\u6bb5\u304b\u3089\uff11\u6bb5\u4e0a\u308b\u304bn\u6bb5\u304b\u3089\uff12\u6bb5\u4e0a\u308b\u3057\u304b\u306a\u3044\u306e\u3067
\n\u6b21\u306e\u6f38\u5316\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n

\u200b\\( a_{n+2}=a_{n+1}+a_n \\)<\/span>\u200b\u305f\u3060\u3057\u200b\\( a_1=1\u3001a_2=2 \\)<\/span>\u200b<\/p>\n

\u7279\u6027\u65b9\u7a0b\u5f0f\u306f\u200b\\( x^2=x+1\u3064\u307e\u308ax^2-x-1=0 \\)<\/span>\u200b<\/p>\n

\u3053\u308c\u3092\u89e3\u304f\u3068\u200b\\( x=\\dfrac{1\\pm\\sqrt{5}}{2} \\)<\/span>\u200b\u3053\u306e\uff12\u3064\u306e\u89e3\u3092\u03b1\u3001\u03b2\u3068\u3059\u308b\u3068<\/p>\n

\u200b\\( a_{n+2}-\\beta a_{n+1}=\\alpha (a_{n+1}-\\beta a_n)\\dots\u2460 \\)<\/span>\u200b<\/p>\n

\u200b\\( ( a_{n+2}-\\alpha a_{n+1}=\\beta (a_{n+1}-\\alpha a_n)\\dots\u2461 \\)<\/span>\u200b<\/p>\n

\u2460\u3088\u308a\u200b\\( a_{n+1}-\\dfrac{1+\\sqrt{5}}{2} a_n\uff1d\uff082-\\dfrac{1+\\sqrt{5}}{2} )({\\dfrac{1-\\sqrt{5}}{2} })^{n-1}\\\\\uff1d\uff08\\dfrac{3-\\sqrt{5}}{2} )({\\dfrac{1-\\sqrt{5}}{2} })^{n-1}\\\\\uff1d({\\dfrac{1-\\sqrt{5}}{2} })^2({\\dfrac{1-\\sqrt{5}}{2} })^{n-1}\\\\=({\\dfrac{1-\\sqrt{5}}{2} })^{n+1}\\dots \u2460 \\)<\/span>\u200b<\/p>\n

\u2461\u3088\u308a\u200b\\( a_{n+1}-\\dfrac{1-\\sqrt{5}}{2} a_n\uff1d\uff082-\\dfrac{1-\\sqrt{5}}{2})(\\dfrac{1+\\sqrt{5}}{2})^{n-1}\\\\=\uff08\\dfrac{3+\\sqrt{5}}{2} )({\\dfrac{1+\\sqrt{5}}{2} })^{n-1}\\\\\uff1d({\\dfrac{1+\\sqrt{5}}{2} })^2({\\dfrac{1+\\sqrt{5}}{2} })^{n-1}\\\\=({\\dfrac{1+\\sqrt{5}}{2} })^{n+1}\\dots \u2461 \\)<\/span>\u200b<\/p>\n

\u3053\u3053\u3067<\/p>\n

\u200b\\( (\\dfrac{1-\\sqrt5}{2})^2=\\dfrac{6-2\\sqrt5}{4}=\\dfrac{3-\\sqrt5}{2} \\)<\/span>\u200b<\/p>\n

\u200b\\( (\\dfrac{1+\\sqrt5}{2})^2=\\dfrac{6+2\\sqrt5}{4}=\\dfrac{3+\\sqrt5}{2} \\)<\/span>\u200b<\/p>\n

\u306b\u6c17\u3065\u3044\u305f\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n

\u6c17\u3065\u304b\u306a\u304f\u3066\u3082\u5927\u5e45\u306a\u6e1b\u70b9\u306b\u306f\u81f3\u3089\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u3088\u3002<\/p>\n

 <\/p>\n

\u2461\u5f0f\u30fc\u2460\u5f0f\u3088\u308a<\/p>\n

\u200b\\( \\sqrt{5}a_n=({\\dfrac{1+\\sqrt{5}}{2} })^{n+1}-({\\dfrac{1-\\sqrt{5}}{2} })^{n+1} \\)<\/span>\u200b<\/p>\n

\u3088\u3063\u3066\u7b54\u3048\u306f<\/p>\n

\u200b\\( \\dfrac{1}{\\sqrt{5}}[({\\dfrac{1+\\sqrt{5}}{2} })^{n+1}-({\\dfrac{1-\\sqrt{5}}{2} })^{n+1}]\u00a0 \\)<\/span>\u200b\u901a\u308a\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

 <\/p>\n

\uff08\u5927\u5206\u7406\u7cfb\u5c02\u9580\u587eWINROAD <\/span>\u9996\u85e4\uff09<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u554f\u984c \u968e\u6bb5\u3092\u4e0a\u308b\u3068\u304d\u3001\u4e00\u5ea6\u306b\u4e0a\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u6bb5\u6570\u306f\uff11\u6bb5\u307e\u305f\u306f\uff12\u6bb5\u306e\u307f\u3067\u3042\u308b\u3068\u3059\u308b\u3002\u3053\u306e\u3068\u304d \u4ee5\u4e0b\u306e\u554f\u3044\u306b\u7b54\u3048\u306a\u3055\u3044\u3002 (1) \u3061\u3087\u3046\u306910\u6bb5\u4e0a\u308b\u65b9\u6cd5\u306f\u5168\u90e8\u3067\u4f55\u901a\u308a\u3042\u308b\u304b\u7b54\u3048\u306a\u3055\u3044\u3002 (2) n\u3092\u6b63\u306e\u6574\u6570\u3068\u3059\u308b\u3002\u3061\u3087\u3046\u3069n<\/p>\n

\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"vkexunit_cta_each_option":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-5041","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/5041","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/comments?post=5041"}],"version-history":[{"count":33,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/5041\/revisions"}],"predecessor-version":[{"id":5074,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/posts\/5041\/revisions\/5074"}],"wp:attachment":[{"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/media?parent=5041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/categories?post=5041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/winroadrikeijyuku.com\/oita\/wp-json\/wp\/v2\/tags?post=5041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}