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| 广义Lucas数列的一些求和公式 | |
| 引用本文： | 陈小芳. 广义Lucas数列的一些求和公式[J]. 价值工程, 2011, 30(31): 176-176 |
| 作者姓名： | 陈小芳 |
| 作者单位： | 渭南师范学院数学与信息科学学院,渭南,714000 |
| 摘 要： | 由二次线性递推公式所定义的Lucas数列ΣLnΣ在数学的理论研究中有重要的作用.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。 |
| 关 键 词： | Lucas数列 归纳 求和公式 |
Some Sum Formula for Generalized Lucas Numbers |
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| Chen Xiaofang. Some Sum Formula for Generalized Lucas Numbers[J]. Value Engineering, 2011, 30(31): 176-176 | |
| Authors: | Chen Xiaofang |
| Affiliation: | Chen Xiaofang(College of Mathematics and Information Science,Weinan Normal University,Weinan 714000,China) |
| Abstract: | Defined by second linear recursion formula,Lucas sequence plays a significant role in theory research.In this paper,according some material on Lucas series,having researched 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. |
| Keywords: | Lucas numbers induction sum formula |
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