设数列
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是等比数列,则“
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”是数列
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是递增数列的( )
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
由
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,设数列
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的公比为
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, 得
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,则
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,数列
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为递增数列;反之,若数列
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是递增数列,则公比
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所以
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,即
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,故“
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”是数列

是递增数列的充分必要条件.
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