在高中数学竞赛中,关于等差数列与等比数列的问题常见的有两类,一是求数列的通项以及若干项之和,二是判断数列是不是等差数列或等比数列.处理这些问题时,要紧紧围绕公差(或公比)这些不变的量做文章.数列与不等式、方程、函数等知识的交汇题也是竞赛的热点,要注意加强数学知识的 In the high school mathematics competition, there are two types of problems involving arithmetic series and geometric series. One is to calculate the general term of a series and the sum of several items, and the other is to determine whether a sequence of numbers is an arithmetic progression or an analogy sequence. When dealing with these problems, it is necessary to make a fuss about these invariable quantities of tolerances (or public ratios). The intersection of series and inequalities, equations, functions and other knowledge is also a hot spot of the competition. Attention should be paid to strengthening mathematical knowledge.