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从近几年的高考试题考查的热点问题中对递推数列的考查来看,其考查“了解递推公式是给出数列的一种方法,并能根据递推公式写出数列的前几项”较多。由于此类问题的解法很多,技巧性较强,特别是对运算能力、归纳猜想能力、以及运用数学知识分析和解决数学问题的能力要求较高,故而成为学习中的一大难点。本文介绍一种构造“新数列”求原数列通项的方法,思路自然,简捷实用,可给人耳目一新的感觉。
In recent years, exam questions from examining hot issues in the recursive sequence of examining the point of view, the test “to understand the recursive formula is a method of giving the number of columns, and according to the recursion formula to write the first few columns Item ”more. Because of the many solutions to these problems, highly skilled, especially for computing power, ability to summarize, and the ability to use mathematical knowledge to analyze and solve mathematical problems higher requirements, it has become a major difficulty in learning. This article describes a construction “new series ” method of seeking the original number of columns, natural thinking, simple and practical, can give a fresh look.