级数的一个系数公式

A Coefficient Formula Concerning Series

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。

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.