{an}是等差数列,Sn=n2-2n,求:an

问题描述:

{an}是等差数列,Sn=n2-2n,求:an

Sn=n²-2n
n>=2,S(n-1)=(n-1)²-2(n-1)=n²-4n+3
所以n>=2时,an=Sn-S(n-1)=2n-3
a1=S1=1-2=-1
符合an=2n-3
所以an=2n-3