(2010•武汉模拟)已知等差数列{an}前n项的和为Sn,a3=32,S3=9,则a1=( ) A.-3 B.32 C.6 D.92
问题描述:
(2010•武汉模拟)已知等差数列{an}前n项的和为Sn,a3=
,S3=9,则a1=( )3 2
A. -3
B.
3 2
C. 6
D.
9 2
答
设首项为a1,公差为d,由题意得:
,
a1+2d=
3 2 3a1+3d=9
解得:a1=
,d=−9 2
,3 2
则a1=
.9 2
故选D