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数列是一类特殊的函数,它的图象是由一系列孤立的点组成的.数列{a_n}的通项及前n项和S_n都可以表示成n或a_n的函数.在学习数列时,可以挖掘其与函数的关系,运用函数的观点和方法来处理数列问题,这不仅有利于同学们加深对数列知识的理解,而且可以深化对函数知识的理解,提高同学们综合运用数学知识的能力.一、数列与一次函数(1)等差数列的通项公式为a_n=a_1+(n-1)d这表明点(n,a_n)在直线y=dx+(a_1-d)上,其图象是该直线上一
A sequence is a special class of functions whose images consist of a series of isolated points. The general term of the sequence {a_n} and the first n terms and S_n can be expressed as functions of n or a_n. While learning the sequence, It can not only help students deepen the understanding of sequence knowledge, but also deepen the understanding of function knowledge and improve the students’ abilities to comprehensively use mathematical knowledge First, the sequence and the first order function (1) The arithmetic sequence of arithmetic progression a_n = a_1 + (n-1) d This means that the point (n, a_n) is on the line y = dx + Is the straight one up