大学数学2024,Vol.40Issue(2) :106-109.

关于高阶差等比数列通项公式的证明

On the Proof of General Term Formulas of Higher Order Difference Proportional Series

戴中林
大学数学2024,Vol.40Issue(2) :106-109.

关于高阶差等比数列通项公式的证明

On the Proof of General Term Formulas of Higher Order Difference Proportional Series

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

针对高阶差等比数列这一崭新课题的研究,近年来不少文章得到了多种不同形式的通项公式,本文利用《大学数学》上已证明的高阶差等比数列通项公式,对《数学通报》以及《高等数学研究》上未予证明的两个通项公式进行了完整而严格的证明.

Abstract

in recent years,many articles have obtained various general term formulas in different forms for the research on the new subject of high-order difference proportional series.This paper uses the general term formula of high-order difference proportional series that has been proved in college mathematics to prove completely and strictly the two general term formulas that have not been proved in mathematics bulletin and higher mathematics research.

关键词

逐差法/高阶差等比数列/通项公式/完全归纳法/证明

Key words

successive difference method/high order difference proportional series/general term formula/complete induction/prove

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出版年

2024
大学数学
教育部数学与统计学教学指导委员会,高等教育出版社,合肥工业大学

大学数学

影响因子:0.304
ISSN:1672-1454
参考文献量3
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