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数列是继函数之后的又一重要章节,教材中主要包含等差数列、等比数列、数列的通项和数列的求和,而根据《高中数学课程标准》要求,教学的重点是等差数列和等比数列以及可以转化成等差或等比的其它数列.数列的通项是学习数列最重要的载体,无论是研究基本量还是性质.很多杂志都在数列的通项求解上研究的很深很透.本文就从课本上研究等差数列和等比数列的累加法和累积法出发,从结构上进行拓展,然后再从方法上进行探究和反思,归纳出与四则运算有关的递推关系的通项求解.
The sequence is another important chapter following the function. The teaching material mainly consists of the sum of the arithmetic sequence, the geometric sequence, the sequence of numbers, and the summation of the sequence. According to the requirement of the “High School Mathematics Curriculum Standard”, the teaching focuses on arithmetic progression And geometric series, as well as other sequences that can be converted into equal or equal proportions. The general term of the series is the most important vector of the learning series, both in terms of its basic quantity and its properties. Many magazines have studied the general solutions to series Deep and very thorough.This article from the textbook on the arithmetic sequence and the geometric progression of the cumulative sum cumulative method, starting from the structure to expand, and then from the method of exploration and reflection, and concluded that the four operations related to the recursion The general solution of the relationship.