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Open Access Article

Advances in International Applied Mathematics. 2023; 5: (2) ; 25-30 ; DOI: 10.12208/j.aam.20231108.

The method of solving general term formula of sequences
数列通项公式的求解方法

作者: 朱新红 *, 官梦鸽, 魏俊潮

扬州大学 江苏扬州

*通讯作者: 朱新红,单位:扬州大学 江苏扬州;

发布时间: 2023-06-28 总浏览量: 835

摘要

数列是高中数学的重要知识内容,已知递推关系求解数列通项公式是学习数列的一个重点和难点,也是考试中的一个必考点.该类题目形式灵活多变、技巧性强.本文通过对近几年高考以及各地模拟考试题的分析,整理归纳出求解数列通项公式的几种常见方法.

关键词: 数列;通项公式;待定系数法

Abstract

Sequence is an important knowledge in high school mathematics. It is a key and difficult point to solve the general term formula of sequences with known recursive relation, and it is also a required point in the National College Entrance Examination. This kind of question condition is flexible and changeable, and it needs some skill to solve this question. Based on the analysis of questions in the college entrance examination and the simulation examination in recent years, this article summarizes several common methods for solving the general term formula of the sequences.

Key words: Sequence; The general term formula; Undetermined coefficient method

参考文献 References

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引用本文

朱新红, 官梦鸽, 魏俊潮, 数列通项公式的求解方法[J]. 国际应用数学进展, 2023; 5: (2) : 25-30.