已知等差数列
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的公差为2,若
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成等比数列, 则
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=" ( " )
A –4 B –6 C –8 D –10
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科目:高中数学
来源:不详
题型:解答题
已知数列满足:
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,数列
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满足:
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,
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(1)求
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;
(2)设
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,求
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的通项公式;
(2)令
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,求
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的最小值.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分14分)已知数列
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的前
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项和
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,

.
(1)求
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的通项公式;(2)设
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N
+,集合
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,

.现在集合
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中随机取一个元素
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,记
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的概率为
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,求
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的表达式.
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科目:高中数学
来源:不详
题型:解答题
(本小题共12分)设数列
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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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).(Ⅰ)求证:数列
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为等差数列,并分别写出
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和
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关于
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的表达式;(Ⅱ)若
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,

为数列
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前
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项和,求
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;(Ⅲ)是否存在自然数
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,使得
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? 若存在,求
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的值;若不存在,说明理由.
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科目:高中数学
来源:不详
题型:填空题
设

为等差数列

的前
n项和,

=14,S
10-

=30,则S
9=
.
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科目:高中数学
来源:不详
题型:填空题
设数列{a
n}的前n项和为S
n,S
n=
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(对于所有n≥1),且a
4=54,则a
1的数值是_____.
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科目:高中数学
来源:不详
题型:解答题
(本题满分14分)
已知
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为
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三点所在直线外一点,且
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.数列
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,
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满足
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,
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,且
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(
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).(Ⅰ) 求
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;(Ⅱ) 令
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,求数列

的通项公式;(III) 当
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时,求数列

的通项公式.
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科目:高中数学
来源:不详
题型:解答题
(本题满分共13分)已知正项数列
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,函数
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。(1)若正项数列
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满足
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(
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且
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),试求出
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由此归纳出通项
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,并证明之;(2)若正项数列
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满足
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(
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且
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),数列
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满足
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,其和为
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,求证
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。
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