已知数列{an}中,an=2n+1,n=2m−12n,n=2m,m为正整数,前n项和为Sn,则S5=_.
问题描述:
已知数列{an}中,an=
,m为正整数,前n项和为Sn,则S5=______.
2n+1,n=2m−1
2n,n=2m
答
∵an=
,m为正整数,
2n+1,n=2m−1
2n,n=2m
∴S5=3+22+7+24+11=41.
故答案为:41.