题目内容
(本小题满分12分)
已知等比数列
中,
,
,且公比
.[:
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
,求
的最大值及相应的
值.
已知等比数列
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(Ⅰ)求数列

(Ⅱ)设
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

解:
(Ⅰ) 由
,因为
,所以
.
而
,所以通项公式为:
6分
(Ⅱ)设
,则
.
所以,
是首项为6,公差为
的
等差数列.

因为n是自然数,所以,
或
时,
最大,其最值是
.
……………………………… 12分
(Ⅰ) 由
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而
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
(Ⅱ)设


所以,
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
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因为n是自然数,所以,
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……………………………… 12分
略
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