问题 选择题
设{Sn}是等差数列{an}的前n项和,若
S8
S4
=3
,则
S16
S8
=(  )
A.
4
3
B.
10
3
C.
9
5
D.3
答案

S8
S4
=3,

∴s8=3s4

∴8a1+28d=12a1+18d

a1=

5
2
d,

S16
S8
=
16a1+120d
8a1+28d
=
10d
3d
=
10
3

故选B.

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