高等数学研究2024,Vol.27Issue(1) :69-71.DOI:10.3969/j.issn.1008-1399.2024.01.019

求高阶差等比数列通项的公式解法

A Formula Method for the General Term of a Sequence with Higher Order Differences to be a Geometric Sequence

戴中林
高等数学研究2024,Vol.27Issue(1) :69-71.DOI:10.3969/j.issn.1008-1399.2024.01.019

求高阶差等比数列通项的公式解法

A Formula Method for the General Term of a Sequence with Higher Order Differences to be a Geometric Sequence

戴中林1
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作者信息

  • 1. 西华师范大学数学与信息学院 四川南充 637002
  • 折叠

摘要

通过对高阶差等比数列通项公式的构成形式进一步研究,得到了该类数列通项公式的标准形式.并利用矩阵的初等变换以及差分的方法导出了求该数列通项公式中各系数的计算公式,从而得到了求高阶差等比数列通项公式及前n项和的一种公式解法.

Abstract

By applying the method of successive difference to a sequence of numbers,an equal-ratio se-quence is obtained after several order differences.This sequence is also called the equal-ratio sequence of higher order differences.In this paper,the general term and the formula of the sum of the preceding term of the equal-ratio sequence of higher order differences are obtained by using the method of matrix only,thus solving the problem of summing the general term and the preceding term of the equal-ratio sequence of higher order differences.

关键词

逐差法/高阶差等比数列/差分法

Key words

successive difference/high order differences/difference method

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出版年

2024
高等数学研究
西北工业大学 陕西省数学会

高等数学研究

影响因子:0.235
ISSN:1008-1399
参考文献量4
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