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lu ka si shu lie yu zuo bo na qi shu lie de yi ge guan xi
Author(s): 
Pages: 19
Year: Issue:  1
Journal: Journal of Puyang College of Education

Keyword:  斐波那契数列卢卡斯数列满足条件自然数;
Abstract: <正>定义1:满足条件: F0=0,f1=1,(n≥1)的数列{Fn}称为斐波那契数列。定义2:满足条件: L0=2,L1=1,(n≥1)的数列{Ln}称为卢卡斯数列。 定理:设{Fn}为斐波那契数列,{Ln}为卢卡斯数列,则对任意的自然数m、n,有: 特别当n=1时,有: 证明:对m,n∈N,对m进行归纳 (i) 当m=1时,有
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