| 关于等差数列前几项等幂和的一种求法 |
| |
| 引用本文： | 任立顺 任秀敏. 关于等差数列前几项等幂和的一种求法[J]. 宁夏大学学报(自然科学版), 1993, 14(1): 37-45 |
| |
| 作者姓名： | 任立顺 任秀敏 |
| |
| 作者单位： | 周口师专(任立顺)，宁夏大学数学系(任秀敏) |
| |
| 摘 要： | 本文利用初等方法研究一般等差数列前n项的等幂和问题,给出求和公式并讨论和函数作为n的多项式的一些简单性质,同时利用导出公式给出前n个自然数和前n个奇数当幂从1到6的等幂和。
|
| 关 键 词： | 等差数列 等幂和 |
On a Method to Evaluate the Sum of Powers of the First n Terms of an Arithematic Sequence |
| |
| Ren Lishun. On a Method to Evaluate the Sum of Powers of the First n Terms of an Arithematic Sequence[J]. Journal of Ningxia University(Natural Science Edition), 1993, 14(1): 37-45 |
| |
| Authors: | Ren Lishun |
| |
| Affiliation: | Ren Lishun (Zhoukou Teacher-training School)Ren Xiumin (Department of Mathematics) |
| |
| Abstract: | In this paper, we use elementary method to evaluate the sum of powers of the first n terms of an arithematic sequence. Formulas for calculation are deduced and some properties of the sum are discussed. |
| |
| Keywords: | arithematic sequence sum of powers. |
| 本文献已被 CNKI 维普 等数据库收录！ |
