| 特殊非线性递推数列的通项求法 |
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| 引用本文： | 江莹茵,卢旋珠.特殊非线性递推数列的通项求法[J].华侨大学学报(自然科学版),1999,20(2):123-126. |
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| 作者姓名： | 江莹茵 卢旋珠 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 研究级数通常以通项为基础，而对某些通项用方程满足的关系式给出时，如何求解通项的表达式则很少见到有关的结论。文中对两种特殊非线性递推关系数列的通项的求法进行探索，利用参数替换和借助差分方程给出两种通项的简单求法，并得到其在判断级数敛散性和求解数列极限上的一些应用。
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| 关 键 词： | 递推数列 级数 非线性 敛散性 |
A Method for Solving General Term of Special Nonlinear Number Sequence with Recurrence Relations |
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| Jiang Yingying,Lu Xuanzhu,Chen Zengzheng.A Method for Solving General Term of Special Nonlinear Number Sequence with Recurrence Relations[J].Journal of Huaqiao University(Natural Science),1999,20(2):123-126. |
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| Authors: | Jiang Yingying Lu Xuanzhu Chen Zengzheng |
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| Abstract: | Generally, the series is studied with the general term as basis. While some general terms are given in the form of relational expression which equation satisfies, the conclusions on how to solve the expression of general term are seldom seen. In exploring two solutions of the general term of special nonlinear number sequence with recurrence relations, the author gives two simple solutions of general term by applying parameter transformation and difference equation; and obtains some applications of the results on judging convergence and divergence of series and on the limit to the solution of sequence. |
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| Keywords: | recurrence sequence general term simple solution |
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