Comment conjecturer une suite numérique la méthode du vingtunième siècle

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En mathématiques, une suite[note 1] est une famille d'éléments — appelés ses « termes » — indexée par les entiers naturels. Une suite finie est une famille indexée par les entiers strictement positifs inférieurs ou égaux à un certain entier, ce dernier étant appelé « longueur » de la suite. • Lorsque tous les éléments d'une suite (infinie) appartiennent à un même ensemble {\\displaystyle E} E, cette suite peut être assimilée à une application de {\\displaystyle \\mathbb {N} } \\mathbb {N} dans {\\displaystyle E} E. On note classiquement une suite {\\displaystyle (u_{n})_{n\\in \\mathbb {N} }} (u_{n})_{{n\\in \\mathbb{N} }}, ou en abrégé : {\\displaystyle (u_{n})} (u_{n}). • En particulier, on parle de suite « entière », suite « réelle » et suite « complexe », quand {\\displaystyle E} E est un sous-ensemble de {\\displaystyle \\mathbb {Z} } \\mathbb {Z} , {\\displaystyle \\mathbb {R} } \\mathbb {R} et {\\displaystyle \\mathbb {C} } \\mathbb {C} , respectivement. • Fragments d'histoire","styleRuns":[{"startIndex":0,"length":976,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":976,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLcBELsvGAIiEwjdyY6XgOSLAxV74EIFHRPiFws=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0VDWDB0U1ltNWpNGAYyJSIRIgtFQ1gwdFNZbTVqTTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLcBELsvGAIiEwjdyY6XgOSLAxV74EIFHRPiFws=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLYBELovIhMI3cmOl4DkiwMVe-BCBR0T4hcL"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"j2be40Wtjpc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/j2be40Wtjpc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB0ZtLQi1mJJOkrfnvgj3OvvQT0Sw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/j2be40Wtjpc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDPxVNih_c_mYfGbXjlEvCzYr_Z8Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"ETUDE DE FONCTION PARTIE 2 : la séduction continue si tu lui montres ça ! 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