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=______.
答
由等差数列的性质可知:a1+a5=a2+a4=6,
而 S5=
=5(a1+a5) 2
=155×6 2
故答案为:15