等比数列
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的前
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项和为
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,已知
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,
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,
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成等差数列,则
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的公比为
.
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科目:高中数学
来源:不详
题型:解答题
数列
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首项
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,前
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项和

满足等式
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(常数
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,
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……)
(1)求证:
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为等比数列;
(2)设数列

的公比为
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,作数列
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使
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(
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……),求数列
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的通项公式.
(3)设
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,求数列
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的前
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项和
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.
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科目:高中数学
来源:不详
题型:解答题
在各项均为负数的数列

中,已知点
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在函数
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的图像上,且
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.
(Ⅰ)求证:数列
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是等比数列,并求出其通项;
(Ⅱ)若数列
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的前
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项和为
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,且
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,求
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.
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科目:高中数学
来源:不详
题型:解答题
数列

的前
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项和
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满足
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(
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,且

).数列

满足
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.
(Ⅰ)求数列
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的前
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项和
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;
(Ⅱ)若对一切
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都有
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,求
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的取值范围.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分12分)
已知数列(a
n}中,a
1=2,前n项和S
n满足S
n+l-S
n=2
n+1(n∈N
*).
(Ⅰ)求数列(a
n}的通项公式a
n以及前n项和S
n;
(Ⅱ)令b
n=2log
2a
n+l,求数列{
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}的前n项和T
n.
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科目:高中数学
来源:不详
题型:单选题
等比数列
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的各项均为正数,且
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,则
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( )
A.12 | B.10 | C.8 | D. |
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