| 级数的一个系数公式 |
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| 引用本文： | 张立圃.级数的一个系数公式[J].高等职业教育,2007,16(6):62-64. |
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| 作者姓名： | 张立圃 |
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| 作者单位： | 天津职业大学 天津300402 |
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| 摘 要： | 以给定的n个数a1、a2、…an为基础，构造了一类以给定数为前n项的无穷多个级数的通项公式，并利用数学归纳法加以证明。讨论了给定前n项为两种特定形式级数的敛散性的判定方法。
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| 关 键 词： | 系数公式 数学归纳法 级数通项 P-级数 |
| 文章编号： | 1008-8415[2007]-06-0062-02 |
| 修稿时间： | 2007年12月10 |
A Coefficient Formula Concerning Series |
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| ZHANG Li-pu.A Coefficient Formula Concerning Series[J].Higher Vocational Education:Journal of Tianjin Professional College,2007,16(6):62-64. |
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| Authors: | ZHANG Li-pu |
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| Institution: | ZHANG Li-pu (Tianjin Professional College, Tianjin 300402, China) |
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| Abstract: | Based on the given"n"numbers,the paper constructed a formula on the general term of a type of infinite series whose first "n"terms were those given numbers,and proved it by means of mathematical induction.The paper also discussed the decision method about convergence and divergence of two series whose first given "n" terms were provided with specific forms. |
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| Keywords: | Coefficient formula Mathematical induction General term of a series p-series |
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