| 关于有穷等差数列的一个性质 |
| |
| 引用本文： | 黄怡胜,徐国新.关于有穷等差数列的一个性质[J].暨南大学学报,2001,22(3):18-21. |
| |
| 作者姓名： | 黄怡胜 徐国新 |
| |
| 作者单位： | 1. 中山大学学报编辑部,
2. 梅州市梅江区城西职业中学, |
| |
| 摘 要： | 得到从有穷等差数列中可重复地任取3项和，所有不相等的和数构成等差数列，公差与原数列相同，进而得到各项出现的频数分布，据此可解决一类用穷举法极为繁琐的古典概率问题。
|
| 关 键 词： | 有穷等差数列 排列 数列性质 古典概率 和数 频数 公差 |
| 文章编号： | 1000-9965(2001)03-0018-04 |
A property of finite arithmetic sequences and its application |
| |
| HUANG Yi-sheng ,XU Guo-xin.A property of finite arithmetic sequences and its application[J].Journal of Jinan University(Natural Science & Medicine Edition),2001,22(3):18-21. |
| |
| Authors: | HUANG Yi-sheng XU Guo-xin |
| |
| Institution: | HUANG Yi-sheng 1,XU Guo-xin 2 |
| |
| Abstract: | It is proved that, all sums of three terms taken from any arithmetic sequence randomly and repeatedly can be arranged as a new arithmetic sequence sharing the same common difference with the original one. The appearing frequency distribution of these sums is obtained. A certain kind of classical probability problems, which are quite complicated when solving by the exhaustion method, can be solved by the results obtained easily. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
