设等差数列{an}的前n项和为Sn,a2+a4=6,则S5=_.

问题描述:

设等差数列{an}的前n项和为Sn,a2+a4=6,则S5=______.

由等差数列的性质可知:a1+a5=a2+a4=6,
而 S5=

5(a1+a5)
2
=
5×6
2
=15
故答案为:15