(1)设等差数列{an}的前n项和为Sn,则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.