| 关于两个非线性递推数列的通项 |
| |
| 引用本文： | 徐苏焦.关于两个非线性递推数列的通项[J].浙江海洋学院学报(自然科学版),2001,20(4):311-315. |
| |
| 作者姓名： | 徐苏焦 |
| |
| 作者单位： | 浙江海洋学院信息学院, |
| |
| 摘 要： | 利用数学归纳法和特定系数法，通过证明某些整系数一元高次方程有且只有一个特殊的正实数解，得到两个非线性递推数列的通项公式，从而推广了1989年全国高中数学联赛第一试第五题的结果。
|
| 关 键 词： | 非线性递推数列 数字归纳法 递推关系 通项 |
| 文章编号： | 1008-830(2001)04-0311-05 |
On General Terms of Two Nonlinear Recurrent Sequences |
| |
| XU Su-jiao.On General Terms of Two Nonlinear Recurrent Sequences[J].Journal of Zhejiang Ocean University(Natural Science Edition),2001,20(4):311-315. |
| |
| Authors: | XU Su-jiao |
| |
| Abstract: | By using both of mathematical induction and method of undetermined coefficient,it is proved that some univariate equations of higher degree with integral coefficient have unique positive real solution,then the general terms of two nonlinear recurrent sequences are established,which generalize the results in Item 5,Paper One of 1989' National High School Mathematics Competition. |
| |
| Keywords: | nonlinear recurrent sequence mathematical induction recurrence relation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
