两类递推数列的通项及其关系

On the General Terms and Relationship between Two Categories of Recurrence Sequences

基于教学实践,文章讨论求两类非线性递推数列的通项,权且是对现行的课标教材的一点补充。在解决问题的过程中,突出求解过程中所蕴涵的基础知识、基本技能、基本数学思想方法,并用数学变换的形式来揭示它们之间的演变过程,从而观察它们之间的内在关系,形成完整的认知和过程。

To make amendment on the present mathematics textbooks, this article discusses the general terms of the two categories of non - linear recurrence sequences on the basis of teaching practice. In the process of problem solving, it is up to teachers to .highlight the basic knowledge, skills and methods of mathematical thought implicated in the solving process, and uncover the evolution process through mathematical manipula- tion so as to find their relationship and form the complete cognitive process of students.