| 高阶等差数列的前n项求和 |
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| 引用本文： | 陶家元. 高阶等差数列的前n项求和[J]. 成都大学学报(自然科学版), 1999, 18(1): 28-33 |
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| 作者姓名： | 陶家元 |
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| 作者单位： | 成都十二中,成都 |
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| 摘 要： | 对高阶等差数列前n项和的求法，为了与本文提出的方法进行比较。首先，简要介绍了三种主要的求和方法。然后，根据高阶等差数列通项的特性，利用新定义的形式导数列对其进行了有效的探讨。成功地得到了一种比较简捷的求和方法。
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| 关 键 词： | K阶等差数列 K阶差 K阶形式导数 求和 |
The Summations for Arithmetic Sequences of Higher Order |
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| Tao Jiayan. The Summations for Arithmetic Sequences of Higher Order[J]. Journal of Chengdu University (Natural Science), 1999, 18(1): 28-33 |
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| Authors: | Tao Jiayan |
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| Abstract: | We first introduce three methods of finding the sum of the first n terms for an arithmetic sequence of higher order, and then display another method by some formal derivatives of which are defined. |
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| Keywords: | arithmetic sequence of K-th order difference of k-th order formar derivative of k-th summation. |
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