| 五阶Fibonacci数列的通项及性质 |
| |
| 引用本文： | 陈淑贞,王珠.五阶Fibonacci数列的通项及性质[J].海南师范大学学报(自然科学版),2014(3):241-245. |
| |
| 作者姓名： | 陈淑贞 王珠 |
| |
| 作者单位： | 海南师范大学 数学与统计学院,海南 海口,571158 |
| |
| 基金项目： | 海南省自然科学基金资助项目 |
| |
| 摘 要： | 著名的二阶Fibonacci数列有许多通项表达式和性质,本文利用归纳法、生成函数、矩阵等方法,对五阶Fibonacci数列进行了研究.获得了五阶Fibonacci数列的三个通项表达式,前n项和公式和一些与Fibonacci数列相似的性质,研究结果推广了Fibonacci数列的相关结论。
|
| 关 键 词： | 五阶Fibonacci数列 通项公式 矩阵 |
The General Term and Property of Fifth Order Fibonacci Sequence |
| |
| CHEN Shuzhen,WANG Zhu.The General Term and Property of Fifth Order Fibonacci Sequence[J].Journal of Hainan Normal University:Natural Science,2014(3):241-245. |
| |
| Authors: | CHEN Shuzhen WANG Zhu |
| |
| Institution: | (College of Mathematics and Statistics, Hainan normal university,Haikou 571158, China) |
| |
| Abstract: | There are several general expressions and properties for the famous second order Fibonacci sequence. Some methods such as induction, generation function and matrix were used to research intensively on fifth order Fibonacci sequence to acquire three representations of the general term formula, the representations of summation of the first n terms and its associated similar properties such as Fibonacci sequence. The results of the research extend the conclusions of Fibonacci sequence. |
| |
| Keywords: | fifth order Fibonacci sequence general term formula matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
