若数列{an}前n项和sn=an-a,a∈R则{an}( ) A.必为等差数列 B.必为等比数列 C.是等差或等比或非等差非等比数列 D是等差或等比数列

问题描述:

若数列{an}前n项和sn=an-a,a∈R则{an}( ) A.必为等差数列 B.必为等比数列 C.是等差或等比或非等差非等比数列 D是等差或等比数列

Sn=An-A;
Sn-1=An-1-A;
做差:Sn-Sn-1=An-An-1
An=An-An-1
An-1=0
所以应该是:A