数列求和通用方法及其推广应用

摘要

通过观察数列通项公式及其和的表达式，发现了一些规律，但缺乏普遍性的证明，现给出一些局部证明，写出来分享给大家，以供数学专家、学者们作更深入的研究，为数学作点贡献。我们知道数列是一种特殊的函数，其定义域为全体自然数，数列和的表达式也具有一般函数在某个区间的和为这个一般函数的积分的性质，故现对某些数列经行研究，并给出数列求和通用方法，再作应用示范和适当推广。%Observing the general formula and its sequence and expression, found some regularity, but the lack of proof of universality, now give some partial proof, write out to others for math experts, scholars have made more in-depth study of mathematics as a point contributions. We know that the series is a special function, the domain of all natural numbers, the number of columns and expressions also has a general function in a certain range, and for the general function of the integral nature, it is now certain number of columns by rows and gives the series summation general method, and then make the appropriate application demonstration and promotion.