广义Fibonacci数列一些前n项和式初等证明

吴茂念

文章摘要

广义Fibonacci数列一些前n项和式初等证明

Some Formals of Sum about General Fibonacci Sequence

DOI：10.3969/j.issn.1671-5322.2007.02.002

中文关键词: Fibonacci数列 Lucas数列广义Fibonacci数列前n项和式

英文关键词: Fibonacci sequence Lucas sequence Generalized Fibonacci Sequence the sum of the first n item

基金项目:

作者	单位
吴茂念	贵州大学，理学院，贵阳，550025

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中文摘要:

用数学初等方法证明了广义Fibonacci数列的相差小于6的前n项的和式,从而就能得到Fibonacci数列、Lucas数列的相差小于6的前n项的和式,通过这些数列的通项就能轻松计算其值.

英文摘要:

The article has demonstrated an elementary proof about the sum of the first n item difference less than 6 of the generalized Fibonacci sequence.Thus,the sum of the first n item difference less than 6 of Fibonacci sequence,Lucas sequence could be obtained and its numerical value could be calculated by the general formals of these sequences.

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