{"id":17542,"date":"2024-09-17T18:42:36","date_gmt":"2024-09-17T16:42:36","guid":{"rendered":"https:\/\/college-willy-ronis.fr\/maths\/?p=17542"},"modified":"2024-12-14T09:09:51","modified_gmt":"2024-12-14T08:09:51","slug":"somme-dentiers-consecutifs","status":"publish","type":"post","link":"https:\/\/college-willy-ronis.fr\/maths\/somme-dentiers-consecutifs\/","title":{"rendered":"Somme d\u2019entiers cons\u00e9cutifs"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"17542\" class=\"elementor elementor-17542\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-11d86738 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"11d86738\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z M242.4,8.6\tc0,0-2.4-0.2-5.6-0.9c-3.2-0.8-10.3-2.8-15.1-3.5c-8.2-1.1-15.8,0-15.1,0.1c0.8,0.1,9.6-0.6,17.6,1.1c3.3,0.7,9.3,2.2,12.4,2.7\tC239.9,8.7,242.4,8.6,242.4,8.6z 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M34.5,12.4c-0.2,0,2.1,0.8,3.3,0.9c1.2,0.1,2,0.1,2-0.2c0-0.3-0.1-0.5-1.6-0.4C36.6,12.8,34.7,12.4,34.5,12.4z M152.2,21.1\tc-0.1,0.1-2.4-0.3-7.5-0.3c-5,0-13.6-2.4-17.2-3.5c-3.6-1.1,10,3.9,16.5,4.1C150.5,21.6,152.3,21,152.2,21.1z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M269.6,18c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC267.7,18.8,269.7,18,269.6,18z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M227.4,9.8c-0.2-0.1-4.5-1-9.5-1.2c-5-0.2-12.7,0.6-12.3,0.5c0.3-0.1,5.9-1.8,13.3-1.2\tS227.6,9.9,227.4,9.8z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M204.5,13.4c-0.1-0.1,2-1,3.2-1.1c1.2-0.1,2,0,2,0.3c0,0.3-0.1,0.5-1.6,0.4\tC206.4,12.9,204.6,13.5,204.5,13.4z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M201,10.6c0-0.1-4.4,1.2-6.3,2.2c-1.9,0.9-6.2,3.1-6.1,3.1c0.1,0.1,4.2-1.6,6.3-2.6\tS201,10.7,201,10.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5aab59ba\" data-id=\"5aab59ba\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2ac4c451 elementor-widget elementor-widget-heading\" data-id=\"2ac4c451\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Section d'excellence<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7f011180 elementor-widget elementor-widget-heading\" data-id=\"7f011180\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Somme d'entiers cons\u00e9cutifs<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-70c5004a elementor-widget elementor-widget-text-editor\" data-id=\"70c5004a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-43268fde\" data-id=\"43268fde\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-26c3e6da elementor-widget elementor-widget-image\" data-id=\"26c3e6da\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"192\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/cours-maths-4eme.png\" class=\"attachment-medium size-medium wp-image-15214\" alt=\"Cours de math\u00e9matiques de 4\u00e8me\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b257b59 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b257b59\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8913d12\" data-id=\"8913d12\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-521c233 elementor-widget elementor-widget-spacer\" data-id=\"521c233\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b8d6d86 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5b8d6d86\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7362d739\" data-id=\"7362d739\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc4cfd8 elementor-widget elementor-widget-text-editor\" data-id=\"fc4cfd8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p class=\"text--center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5694 size-full\" src=\"https:\/\/college-willy-ronis.fr\/wp-content\/uploads\/2024\/09\/somme-entier.png\" alt=\"\" width=\"640\" height=\"360\" \/><\/p>\r\n<p class=\"text--center\"><strong>Sujet : Que peut-on dire de la somme de plusieurs entiers cons\u00e9cutifs ?<\/strong><\/p>\r\n<strong>D\u00e9finition :<\/strong> Des entiers naturels cons\u00e9cutifs sont des entiers naturels qui se suivent imm\u00e9diatement.\r\n\r\n<strong>Exemple :<\/strong> 234 ; 235 et 236 sont des entiers naturels cons\u00e9cutifs\r\n\r\nNous nous sommes\u00a0 int\u00e9ress\u00e9s \u00e0 la propri\u00e9t\u00e9 suivante :\r\n\r\n<strong>Propri\u00e9t\u00e9 : <\/strong>la somme de trois entiers cons\u00e9cutifs est un multiple de trois.\r\n\r\nVoici quelques exemple :\r\n<ul>\r\n \t<li>Les nombres 17,18 et 19 sont trois entiers naturels cons\u00e9cutifs.<\/li>\r\n<\/ul>\r\n17 + 18 + 19 = 54. 54 est un multiple de 3. En effet : 54 = 3 x 18\r\n<ul>\r\n \t<li>Les nombres 5,6 et 7 sont trois entiers naturels cons\u00e9cutifs.<\/li>\r\n<\/ul>\r\n5 + 6 + 7 = 18. 18 est un multiple de 3. En effet : 18 = 3 x 6.\r\n\r\nAfin de d\u00e9montrer cette propri\u00e9t\u00e9, on utilise le calcul litt\u00e9ral :\r\n\r\nAppelons n l&rsquo;entier du milieu.\r\n\r\nL&rsquo;entier qui pr\u00e9c\u00e8de s&rsquo;\u00e9crit n &#8211; 1.\r\n\r\nL&rsquo;entier qui suit s&rsquo;\u00e9crit n + 1.\r\n\r\nn &#8211; 1 + n + n + 1 = 3n qui est multiple de 3.\r\n\r\nLa propri\u00e9t\u00e9 est bien d\u00e9montr\u00e9e.\r\n\r\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5695 size-large\" src=\"https:\/\/college-willy-ronis.fr\/wp-content\/uploads\/2024\/09\/photo_1-1024x768.jpeg\" alt=\"\" width=\"1024\" height=\"768\" \/>\r\n\r\nNous avons ensuite essay\u00e9 de voir si la propri\u00e9t\u00e9 restait vraie avec quatre nombres entiers naturels cons\u00e9cutifs? Obtenons-nous un multiple de 4 ?\r\n\r\n<strong>exemple :<\/strong> 13 + 14 + 15 + 16 = 58\r\n\r\n58\/ 4 = 14,5\r\n\r\n14,5 n&rsquo;\u00e9tant pas dans la table de 4, donc 58 n&rsquo;est pas un multiple de 4. Il est d\u00e9montr\u00e9 que la somme de 4 entier naturels cons\u00e9cutifs n&rsquo;est pas un multiple de 4.\r\n\r\nEn revanche, pour la somme de 5 entiers naturels cons\u00e9cutifs, cela fonctionne.\r\n\r\nEn effet : 1 + 2 + 3 + 4 + 5 = 15 et 15 est bien un multiple de 5.\r\n\r\n<strong>D\u00e9monstration :\u00a0<\/strong>\r\n\r\non appelle n l&rsquo;entier du milieu :\r\n\r\nn &#8211; 2 + n &#8211; 1 + n + n + 1 + n + 2 = 5n\r\n\r\n5n est bien l&rsquo;\u00e9criture d&rsquo;un multiple de 5.\r\n\r\n&nbsp;\r\n\r\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5697 size-large\" src=\"https:\/\/college-willy-ronis.fr\/wp-content\/uploads\/2024\/09\/photo_3-scaled-e1726483374685-1024x768.jpeg\" alt=\"\" width=\"1024\" height=\"768\" \/>\r\n<figure class=\"image image_resized\"><\/figure>\r\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5696 size-large\" src=\"https:\/\/college-willy-ronis.fr\/wp-content\/uploads\/2024\/09\/photo_2-scaled-e1726483450801-1024x768.jpeg\" alt=\"\" width=\"1024\" height=\"768\" \/>\r\n\r\nFinalement, nous avons voulu montrer que la somme des 999 premiers entiers cons\u00e9cutifs est \u00e9gale \u00e0 \u00a0499 500.\r\n\r\n1 + 2 + 3 + &#8230; + 999 = 499 500 ?\r\n\r\nAvec un regroupement astucieux des termes de cette somme, nous y sommes parvenus (sans utiliser de calculatrice !) :\r\n\r\n1 + 2 + 3 + &#8230; +999\r\n\r\n= (1+ 999) + (2 + 998) + (3 + 997) +&#8230;+ (499 + 501) + 500\r\n\r\n= 499 x 1000 + 500\r\n\r\n= 499 500\r\n\r\nDeux fichiers Scratch \u00e0 t\u00e9l\u00e9charger :\r\n<ul>\r\n \t<li><a href=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/09\/programme%20scratch%20%20somme%20de%20quatre%20entiers%20cons%C3%A9cutifs.sb3\">Programme Scratch calculant la somme de 4 entiers naturels cons\u00e9cutifs<\/a><\/li>\r\n \t<li><a href=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/09\/programme%20scratch%20%20somme%20de%205%20entiers%20cons%C3%A9cutifs.sb3\">Programme Scratch calculant la somme de 5 entiers naturels cons\u00e9cutifs<\/a><\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8a86e59 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8a86e59\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f2dcdb0\" data-id=\"f2dcdb0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e5a549 elementor-widget elementor-widget-spacer\" data-id=\"0e5a549\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Section d&rsquo;excellence Somme d&rsquo;entiers cons\u00e9cutifs Sujet : Que peut-on dire de la somme de plusieurs entiers cons\u00e9cutifs ? D\u00e9finition : Des entiers naturels cons\u00e9cutifs sont des entiers naturels qui se suivent imm\u00e9diatement. Exemple : 234 ; 235 et 236 sont des entiers naturels cons\u00e9cutifs Nous nous sommes\u00a0 int\u00e9ress\u00e9s \u00e0 la propri\u00e9t\u00e9 suivante : Propri\u00e9t\u00e9 : [&hellip;]<\/p>\n","protected":false},"author":7440,"featured_media":17543,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"full-width-container","site-content-style":"unboxed","site-sidebar-style":"unboxed","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[119],"tags":[],"class_list":["post-17542","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-actualites"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Somme d\u2019entiers cons\u00e9cutifs - Math\u00e9matiques au coll\u00e8ge Willy Ronis - Actualit\u00e9s<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/college-willy-ronis.fr\/maths\/somme-dentiers-consecutifs\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Somme d\u2019entiers cons\u00e9cutifs - Math\u00e9matiques au coll\u00e8ge Willy Ronis - Actualit\u00e9s\" \/>\n<meta property=\"og:description\" content=\"Section d&rsquo;excellence Somme d&rsquo;entiers cons\u00e9cutifs Sujet : Que peut-on dire de la somme de plusieurs entiers cons\u00e9cutifs ? D\u00e9finition : Des entiers naturels cons\u00e9cutifs sont des entiers naturels qui se suivent imm\u00e9diatement. Exemple : 234 ; 235 et 236 sont des entiers naturels cons\u00e9cutifs Nous nous sommes\u00a0 int\u00e9ress\u00e9s \u00e0 la propri\u00e9t\u00e9 suivante : Propri\u00e9t\u00e9 : [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/college-willy-ronis.fr\/maths\/somme-dentiers-consecutifs\/\" \/>\n<meta property=\"og:site_name\" content=\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\" \/>\n<meta property=\"article:published_time\" content=\"2024-09-17T16:42:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-12-14T08:09:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/09\/somme-entiers-consecutifs.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"768\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"eric_moisan@orange.fr\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"eric_moisan@orange.fr\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/somme-dentiers-consecutifs\/\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/somme-dentiers-consecutifs\/\",\"name\":\"Somme d\u2019entiers cons\u00e9cutifs - 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D\u00e9finition : Des entiers naturels cons\u00e9cutifs sont des entiers naturels qui se suivent imm\u00e9diatement. 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