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其他
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设等差数列{a
n
}的公差d不为0,a
1
=9d.若a
k
是a
1
与a
2k
的等比中项,则k=( )
A. 2
B. 4
C. 6
D. 8
人气:228 ℃ 时间:2019-08-18 22:10:36
解答
因为a
k
是a
1
与a
2k
的等比中项,
则a
k
2
=a
1
a
2k
,[9d+(k-1)d]
2
=9d•[9d+(2k-1)d],
又d≠0,则k
2
-2k-8=0,k=4或k=-2(舍去).
故选B.
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