广义Lucas数列的求和公式

摘要

Defined by second line formula, Lucas sequence plays a significant role in theory research. In this paper, according to some material on Lucas series, having researched the unified formula problem of the generalized Lucas series equal length sub - sequence continuous items sum, we have given a more widely sum formula for generalized Lucas sequence and then we have adopted the recursive inductive method to prove.%由二次线性递推公式所定义的Lucas数列．{Fa}在数学的理论研究中有重要的作用，不少学者对这个数列的一些特征进行了深入细致的研究．本文在已有的有关广义Lucas数列相关定理的基础上进一步推广，给出了更为广泛的广义Lucas数列的求和公式，采用了递推归纳的方法证明．