高阶差等比数列的通项与前n项的和

General Term and Sum Formula of High Order Difference Geometrie Series

通过对某一数列应用逐差法,使得若干阶差后得到一等比数列.该数列又称为高阶差等比数列.本文仅研究讨论高阶差等比数列的通项及前n项和的公式,并由该数列的特点得到规律性计算公式,从而解决了高阶差等比数列的通项及前n项求和问题.

By applying the successive difference method to a sequence of numbers,an equal ratio sequence is obtained after several order differences.This sequence is also called the equal ratio sequence of higher order differences.This paper only studies and discusses the formula of the general term and the sum of the preceding term of the equal ratio sequence of higher order differences,and obtains the regular calculation formula from the characteristics of the sequence,thus resolving the equal ratio of higher order differences.The sum of the general terms and the preceding items.