问题 选择题
设Sn是等差数列{an}的前n项和,若
a6
a5
=
9
11
,则
S11
S9
=(  )
A.1B.-1C.2D.
1
2
答案

由题意可得

S11
S9
=
11(a1+a11)
2
9(a1+a9)
2

=

11×2a6
2
9×2a5
2
=
11a6
9a5
=
11
9
×
9
11
=1

故选A

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