等差数列作为数列的一类,具有数列的共性;数列作为特殊的函数,同时也具有函数的特性;而等差数列的通项公式和前n项和公式分别对应一次函数式和二次函数式,因此等差数列具有典型的函数性质.本文就等差数列和问题从数列特性及函数性质方面进行审视,以揭示等差数列和的本质. Equal-difference series as a series of numbers, with the common sequence; series as a special function, but also has the characteristics of the function; and the arithmetic sequence of the arithmetic sequence and the first n terms and formulas correspond to the first order function and quadratic function Therefore, the arithmetic sequence of the arithmetic progression has typical functional properties.In this paper, we examine the sequence and problem of arithmetic progression from the nature of the sequence and the nature of the function to reveal the nature of the sum of arithmetic progression.