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自从近几年高考试题中出现递归数列后,引起了中学数学教师的注意。虽然这部分内容在中学数学教材中没有系统地阐述,但重点中学的高中数学课本已经涉及到了。如果在有条件的班级或利用课外讲座形式介绍递归数列求通项的基本方法,对巩固数列基本内容及培养学生的分析探索能力是有益处的。为此本文介绍二阶线性递归数列的两种求通项的方法。
Since the emergence of recursive sequences in the high exam questions in recent years, it has attracted the attention of middle school mathematics teachers. Although this part is not systematically described in the middle school mathematics textbooks, high school mathematics textbooks have been dealt with in key middle schools. If the basic method of recursive sequence numbering is introduced in conditional classes or in the form of extracurricular lectures, it is beneficial to consolidate the basic content of the series and to develop the students’ analytical abilities. For this reason, this paper introduces two ways to find the general term of the second-order linear recursive sequence.