数列是一列有序的数,以正整数集,或它的有限子集为定义域的函数。数列中的每一个数都称为这个数列的项。排列第一位的数称为这个数列的第1项,也叫首项,排在第二位的数被称为这个数列的第2项,排在第N位的数称为这个数列的第n项。表示每个输入值对应唯一输出值的一种对应关系就是函数。以提出问题的数学特征为前提,从而将函数关系性的数学模型建立起来,在此基础上展开研究,这就是函数思想。一、高中函数、数列概述y=f(x),x∈A,其中x叫做自变量,x的取值范围就是 A sequence is an ordered list of numbers, either as a set of positive integers, or as a finite subset of domains, as a function of the domain. Each number in the sequence is called an entry in this sequence. The first number in the list is called the first item in this series, also called the first item. The second number in the series is called the second item in this number. The number in the Nth digit is called the n items. A correspondence between the unique output values ​​that correspond to each input value is a function. In order to put forward the mathematical characteristics of the problem as a prerequisite, so as to establish a mathematical model of the relationship between functions, on the basis of this research, this is the function of thinking. First, the high school function, an overview of the sequence y = f (x), x∈A, where x is called an argument, x is the range