{"id":23,"date":"2023-06-21T20:29:08","date_gmt":"2023-06-21T17:29:08","guid":{"rendered":"http:\/\/bagrut-ru.com\/?p=23"},"modified":"2025-09-04T17:44:34","modified_gmt":"2025-09-04T14:44:34","slug":"%d0%bb%d0%b5%d1%82%d0%be-2023-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-35571-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-1","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=23","title":{"rendered":"\u0411\u0430\u0433\u0440\u0443\u0442 (5). \u041b\u0435\u0442\u043e 2023, \u0432\u0430\u0440\u0438\u0430\u043d\u0442 35571, \u0437\u0430\u0434\u0430\u043d\u0438\u0435 1\u05d0"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-65\" src=\"http:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1-300x119.png\" alt=\"\" width=\"837\" height=\"332\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1-300x119.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1-1024x408.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1-768x306.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1.png 1376w\" sizes=\"auto, (max-width: 837px) 100vw, 837px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67\" src=\"http:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1\u0440\u0443-300x142.png\" alt=\"\" width=\"845\" height=\"400\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1\u0440\u0443-300x142.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1\u0440\u0443-1024x485.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1\u0440\u0443-768x364.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/06\/\u043b\u0435\u0442\u043e-2023-1\u0440\u0443.png 1424w\" sizes=\"auto, (max-width: 845px) 100vw, 845px\" \/><\/p>\n<div class=\"spoiler-wrap\">\n\t\t\t\t<div class=\"spoiler-head folded\">\u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n\t\t\t\t<div class=\"spoiler-body\"> (1) \u041f\u043e \u0443\u0441\u043b\u043e\u0432\u0438\u044e \u200b\u200b<span class=\"math inherit-color\">\\( T_k=(2k-3) \\cdot 2^{k+1} \\) \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <\/span>\u200b<span class=\"math inherit-color\">\\( k \\)<\/span>\u200b. \u041f\u0435\u0440\u0435\u0434 \u043d\u0430\u043c\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u00a0 <span class=\"math inherit-color\">\\( k \\)-\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438. \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 <span class=\"math inherit-color\">\\( k \\)-\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442 <span class=\"math inherit-color _focus\">\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 <span class=\"math inherit-color\">\\( (T_k)\u00a0 \\) <\/span>\u043e\u0442 \u0435\u0433\u043e \u043d\u043e\u043c\u0435\u0440\u0430 \\(\u00a0 (k) \\). <\/span><\/span>\u041d\u043e\u043c\u0435\u0440 \u0447\u043b\u0435\u043d\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0438\u0442\u044c \u043b\u044e\u0431\u043e\u0439 \u0431\u0443\u043a\u0432\u043e\u0439, \u0432\u0430\u0436\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u044d\u0442\u043e \u0431\u044b\u043b\u0430 \u043e\u0434\u043d\u0430 \u0438 \u0442\u0430 \u0436\u0435 \u0431\u0443\u043a\u0432\u0430 (\u0438\u043b\u0438 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435) \u0432 \u043b\u0435\u0432\u043e\u0439 \u0438 \u043f\u0440\u0430\u0432\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f.\u00a0 <\/span>\u0414\u043b\u044f \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e\u00a0 \u200b\u200b\u200b<span class=\"math inherit-color\">\\( n=k+1 \\) , \u0431\u0443\u0434\u0435\u0442 \u0432\u0435\u0440\u043d\u043e \u200b\u200b<span class=\"math inherit-color\">\\( T_n=(2n-3) \\cdot 2^{n+1} \\)<\/span><\/span>\u200b. \u0417\u0430\u043c\u0435\u043d\u0438\u043c \u0432 \u043f\u043e\u0441\u043b\u0435\u0434\u043d\u0435\u043c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0435 <span class=\"math inherit-color\">\\( n \\)<\/span>\u200b \u043d\u0430 <span class=\"math inherit-color\">\\( k+1 \\), \u043f\u043e\u043b\u0443\u0447\u0438\u043c <\/span>\u200b \u200b<span class=\"math inherit-color\">\\( T_{k+1}=(2(k+1)-3) \\cdot 2^{k+1+1}= (2k-1) \\cdot 2^{k+2} \\)<\/span>\u200b<\/p>\n<p><span class=\"math inherit-color\"><span class=\"math inherit-color\">\u00a0\u0427\u0442\u043e \u0438 \u0442\u0440\u0435\u0431\u043e\u0432\u0430\u043b\u043e\u0441\u044c \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c<\/span><\/span><\/p>\n<p>(2) \u0427\u0442\u043e\u0431\u044b \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c, \u0447\u0442\u043e \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435\u00a0 &#171;<strong>\u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e<\/strong> \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <span class=\"math inherit-color\">\\( n \\) \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f <span class=\"math inherit-color\">\\( T_n=(2n-3) \\cdot 2^{n+1} \\)&#187;<\/span>\u00a0<\/span>\u043d\u0435 \u0432\u0435\u0440\u043d\u043e, \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u043f\u0440\u0438\u0432\u0435\u0441\u0442\u0438 \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u0430\u043a\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f <span class=\"math inherit-color\">\\( n\\), \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u044d\u0442\u043e \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u043d\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f<\/span>\u200b. \u0412\u043e\u0437\u044c\u043c\u0435\u043c <span class=\"math inherit-color\">\\( n=1 \\). \u041f\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \\( T_n \\) (\u0438\u0437 \u0443\u0441\u043b\u043e\u0432\u0438\u044f (\u05d0)) , \\( T_1=a_1 \\cdot b_1=(2 \\cdot 1-1) \\cdot 2^1=2 \\). \u041d\u043e \u0435\u0441\u043b\u0438 \u043c\u044b \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c <span class=\"math inherit-color\">\\( T_n=(2n-3) \\cdot 2^{n+1} \\) \u0438 \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c <span class=\"math inherit-color\">\\( n=1\\)<\/span><span class=\"math inherit-color\">, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043c\u00a0 <span class=\"math inherit-color\">\\( T_1=(2 \\cdot 1-3) \\cdot 2^{1+1}=-4 \\). \u041f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u0440\u0435\u0447\u0438\u0435, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u044d\u0442\u043e \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 \u043d\u0435 \u0432\u0435\u0440\u043d\u043e. <\/span><\/span><\/span><\/span>\u00a0 <\/div>\n\t\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-23","post","type-post","status-publish","format-standard","hentry","category-5"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/23","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23"}],"version-history":[{"count":35,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/23\/revisions"}],"predecessor-version":[{"id":1536,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/23\/revisions\/1536"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}