已知等差数列{an}中,an=-2n+11(1)求数列{an}的前n项和.(2)当n为何值时,前n项和Sn有最大值,并求出

2025-06-22 02:13:20
推荐回答(1个)
回答1:

(1)设等差数列{an}的前n项和为Sn
Sn

n(a1+an)
2
=
n(9?2n+11)
2
=-n2+10n;
(2)由(1)知,Sn=-n2+10n=-(n-5)2+25,
当n=5时Sn有最大值为25.