(2010?宿松縣三模)等差數(shù)列{an}的前n項(xiàng)和為Sn,S9=-18,S13=-52,等比數(shù)列{bn}中,b5=a5,b7=a7,則b15的值為( ?。?A.64 B.-64 C.128 D.-128
(2010?宿松縣三模)等差數(shù)列{an}的前n項(xiàng)和為Sn,S9=-18,S13=-52,等比數(shù)列{bn}中,b5=a5,b7=a7,則b15的值為( )
A. 64
B. -64
C. 128
D. -128
優(yōu)質(zhì)解答
∵S
9=
(a
1+a
9)=9a
5=-18,S
13=
(a
1+a
13)=13a
7=-52,
∴a
5=-2,a
7=-4,
又∵b
5=a
5,b
7=a
7,
∴b
5=-2,b
7=-4,
∴q
2=2,b
15=b
7?q
8=-4×16=-64.
故選B.
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