.(本小题满分12分)
已知:数列
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与-3的等差中项。
(1)求
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;
(2)求数列

的通项公式.
:解:(1)由题知,

与—3的等差中项。

………………2分
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
………………6分
(2)由题知

①
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② ………………7分
②—①得
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即
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③ ………………10分

也满足③式 即


是以3为首项,3为公比的等比数列。

……12分
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
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
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
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
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
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
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
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
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
的通项公式;
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
的各项均为正数,其前

项和为
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,
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
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
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
.且

分别是等比数列

的
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. (1)求数列

与

的通项公式;
(2)设数列

对任意自然数

均有:

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
中,
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,前
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
项和
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满足
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。
(1)求数列数列

的通项公式

,以及前

项和

;
(2)

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
的前n项的和

。
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