序言数列作为定义在正整数集或其有限子集上的一类特殊函数,是反映自然规律的一种基本数学模型.数列是高中数学的重要内容和主干知识,是高考必考的重点内容.从命题情况来看,高考对于数列这部分内容的考查,主要集中在数列通项公式的求解、数列的求和问题,或是数列与函数、不等式、导数等有关知识的交汇性问题等.试题一般是以等差数列、等比数列或可转化为等差数 As a special function defined in the set of positive integers or its finite subsets, the preamble series is a basic mathematical model reflecting the natural law. The sequence is an important content and main knowledge of the high school mathematics, and it is the key content of the college entrance examination. Judging from the propositional situation, the examination of this part of the series in the college entrance examination mainly focuses on the solution of series general term formulas, the summation of series, or the intersection of series and function, inequality, derivative, and other related knowledge. It is generally based on arithmetic progressions, geometric progressions, or can be converted into equal differences.