问题
选择题
已知{an}为等差数列,且有a2+a6+a7+a8+a12=15,则S13=( )
A.39
B.45
C.3
D.91
答案
∵{an}为等差数列,a2+a6+a7+a8+a12=15,
∴a2+a6+a7+a8+a12=5a7=15,
即a7=3.
∵S13=
=13(a1+a13) 2
=13×a7=13×3=39,13×2a7 2
故选:A.
已知{an}为等差数列,且有a2+a6+a7+a8+a12=15,则S13=( )
A.39
B.45
C.3
D.91
∵{an}为等差数列,a2+a6+a7+a8+a12=15,
∴a2+a6+a7+a8+a12=5a7=15,
即a7=3.
∵S13=
=13(a1+a13) 2
=13×a7=13×3=39,13×2a7 2
故选:A.