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

作　　者：戴中林[1] DAI Zhonglin(School of Mathematics and Information,West China Normal University,Nanchong Sichuan 637002,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《大学数学》2024年第2期106-109,共4页College Mathematics

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.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 

分 类 号：O155[理学—数学]