>
数学
>
设等比数列{a
n
}中,前n项之和为S
n
,已知S
3
=8,S
6
=7,则a
7
+a
8
+a
9
=( )
A.
−
1
8
B.
1
8
C.
57
8
D.
55
8
人气:195 ℃ 时间:2020-03-18 19:21:11
解答
a
4
+a
5
+a
6
=S
6
-S
3
=7-8=-1,
a
4
+a
5
+a
6
=a
1
q
3
+a
2
q
3
+a
3
q
3
=(a
1
+a
2
+a
3
)q
3
,
所以q
3
=
−
1
8
,
则a
7
+a
8
+a
9
=a
4
q
3
+a
5
q
3
+a
6
q
3
=
1
8
.
故选B.
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