因为
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,所以
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,故选A
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科目:高中数学
来源:不详
题型:解答题
(本题满分16分)已知数列
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中,
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,
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为实常数),前

项和
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恒为正值,且当

时,
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.
⑴求证:数列

是等比数列;
⑵设
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与

的等差中项为

,比较
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与

的大小;
⑶设

是给定的正整数,

.现按如下方法构造项数为

有穷数列

:
当

时,

;
当
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时,

.
求数列

的前

项和

.
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科目:高中数学
来源:不详
题型:单选题
设等差数列

的前

项和为
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,若

,则满足

的正整数

的值为( ▲ )
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科目:高中数学
来源:不详
题型:解答题
已知正项数列{a
n},其前n项和S
n满足10S
n=a
n2+5a
n+6且a
1,a
3,a
15成等比数列,求数列{a
n}的通项a
n
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科目:高中数学
来源:不详
题型:解答题
(本题满分13分)设函数

方程f(x)=x有唯一的解,
已知f(x
n)=x
n+1(n∈N﹡)且

(1)求证:数列{

}是等差数列;
(2)若

,求s
n=b
1+b
2+b
3+…+b
n;
(3)在(2)的冬件下,若不等式

对一切n∈N﹡
均成立,求k的最大值.
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科目:高中数学
来源:不详
题型:填空题
已知两个等差数列{
an}和{
bn}的前
n项和分别为
An和
Bn,且

=

,则

=________.
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