在等差数列
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中,
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,则此数列的前
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项的和等于
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、
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、
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、
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、
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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
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,数列
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满足:

,
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,
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.
(Ⅰ) 求证:数列

是等差数列;数列

是等比数列;(其中
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;
(Ⅱ) 记

,对任意的正整数

,不等式

恒成立,求

的取值范围.
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科目:高中数学
来源:不详
题型:解答题
已知等差数列

的前
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项和为
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,且

,

.
(1)求

的通项公式;
(2)设

,求证:数列

是等比数列,并求其前
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项和

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科目:高中数学
来源:不详
题型:解答题
已知数列

的前
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项和为
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,点

均在函数

的图象上
(1)求数列

的通项公式
(2)若数列

的首项是1,公比为

的等比数列,求数列

的前

项和

.
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科目:高中数学
来源:不详
题型:解答题
已知无穷数列

中,

是首项为

,公差为

的等差数列;

是首项为

,公比为

的等比数列

,并对任意
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,均有
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成立,(1)当
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时,求
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; (2)若
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,试求
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的值;(3)判断是否存在

,使
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成立,若存在,求出

的值;若不存在,请说明理由.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分13分)
设数列

为等差数列,且
a5=14,
a7=20。
(I)求数列

的通项公式;
(II)若

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科目:高中数学
来源:不详
题型:单选题
已知等差数列

中,

,则

( )
A.30 | B.15 | C. | D. |
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科目:高中数学
来源:不详
题型:单选题
在等差数列

中,前
n项和为
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,且

,则

的值为
A.2012 | B.1006 | C.-1006 | D.-2012 |
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科目:高中数学
来源:不详
题型:单选题
等差数列

中,

,

,则

的前9项的和
S9=( )
A.66
B.99
C.144
D.297
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