由一个堆积问题引出的两类数列的求和公式

Two Summation Formula of Progression Induced by a Accumulation Question

数列求和中的堆积问题,是应用初等数学方法来解决数列求和问题中的难点,将此问题进行总结推广,给出了等差数列与等比数列中堆积问题求和的两个公式:。但对于一般数列求和中的堆积问题,仍有待于深入地探索与研究。

The accumulation question of progression summation is the difficult point in solving the progression summation by means of elementary mathematical method. This question can be extended through geometric series and arithmetic series： Sn=Cn^1α1＋Cn^ 2D与Sn=α1/1-q[n-q-q^n＋1/1-q]（q≠1）. q However, it is necessary that the accumulation question of the general series summation should be further studied.