数列不仅在高中数学里有特别重要的比重,而且对大学数学也有重要影响,数列和函数、不等式、方程、积分、微分、极限、级数等等都有很大的联系,而且在数列题目中,经常会涉及到分类讨论和等价转化,这些都是很重要的数学基本技能和思想方法。数列的通项和求和是每年高考的必考考点,对数列求通项公式和求和是一个技巧性强、灵活度大、方法多的过程,需要学生灵活的运用学习到的内容。掌握数列通项公式和求和的方法对高考取得好成绩有很大的帮助。新课改过后,高中数学教材书上只安排了等比数列和等差数列的通项公式和求和方法,但他们都只是最基础的数列,数列的形式复杂种类繁多,大部分的数列即不是等差数列也不是等比数列,所以本文对高中阶段一般数列的求和通项方法进行了归纳和总结,现结果如下。 Not only does mathematics have a particularly important weight in high school mathematics, but it also has an important influence on university mathematics. Numbers and functions, inequalities, equations, integrals, differentials, limits, progressions, etc. , Often involved in the classification of discussions and equivalent transformation, these are very important basic mathematical skills and ideas. The general term and summation of the series are the necessary exam sites for the annual college entrance examination. The formulas and summations for the series formulas and the summation formulas are a process that is skillful, flexible, and multi-methodic. It requires students to flexibly use the learned contents. Grasping the general formulae and the method of summation of the series will greatly help the college entrance examination to achieve good results. After the new curriculum reform, the general school mathematics textbooks only arranged the general formulas and summation methods for equal numbers and arithmetic series, but they were all the most basic ones. The forms of the series were complex and numerous, and most of the series were It is not that the arithmetic progression is not an analogy sequence. Therefore, this paper summarizes and summarizes the general term summation method of the general sequence in the senior high school. The results are as follows.