> 数学 >
设Sn是等差数列{an}的前n项和,若
a5
a3
=
5
9
,则
S9
S5
=(  )
A. 1
B. -1
C. 2
D.
1
2
人气:435 ℃ 时间:2020-05-25 18:31:29
解答
设等差数列{an}的首项为a1,由等差数列的性质可得
a1+a9=2a5,a1+a5=2a3
s9
s5
=
a1+a9
2
×9
a1+a5
2
×5
=
9a5
5a3
=
9
5
×
5
9
=1,
故选A.
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