| 一类线性递归数列通项公式的证明和应用 |
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| 引用本文： | 张智广,闫立梅. 一类线性递归数列通项公式的证明和应用[J]. 长春师范学院学报, 2007, 26(3): 4-6 |
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| 作者姓名： | 张智广 闫立梅 |
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| 作者单位： | [1]曲阜师范大学运筹与管理学院,山东日照276826 [2]德州学院数学系,山东德州253023 |
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| 摘 要： | 利用线性代数知识,证明且给出下列形式的数列通项公式的一种求法:an m=kman (m-1) ... k2an 1 k1an,其中k1,k 2,...,km为已知常数,数列的前m项a0,a1,...,am-1已知.并用这种方法求出了斐波那契数列的通项公式.
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| 关 键 词： | 矩阵对角化 数列 通项公式 斐波那契数列 |
| 文章编号： | 1008-178X（2007）03-0004-03 |
| 修稿时间： | 2007-01-08 |
Prove and Application of Sequences General Term Equation |
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| ZHANG Zhi-guang,YAN Li-mei. Prove and Application of Sequences General Term Equation[J]. Journal of Changchun Teachers College, 2007, 26(3): 4-6 |
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| Authors: | ZHANG Zhi-guang YAN Li-mei |
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| Affiliation: | 1. College of Operations Research and Management Science, Qufu Normal University, Rizhao 276826, China; 2. Department of Mathematics, Dezhou University, Dezhou 253023, China |
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| Abstract: | In this paper, we proved a new algorithm for solving constant coefficient recursive sequences general term equation through matrices calculation, and applied the method to solve this problem. |
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| Keywords: | recursive sequences general term equation matrices |
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