等差数列{an}的前n项和Sn=2n2+n,求它的通项公式

问题描述:

等差数列{an}的前n项和Sn=2n2+n,求它的通项公式

Sn=2n^2+n
Sn-1=2(n-1)^2+(n-1)
an=Sn-Sn-1
=2n^2+n-2(n-1)^2-(n-1)
=4n-2+1=4n-1