设数列
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为等差数列,其前
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项和为
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,已知
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,若对任意
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都有
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成立,则
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的值为 ( )
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相关习题
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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是递增数列,其前
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项和为
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,
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,
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且
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,
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.
(Ⅰ)求数列
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的通项
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;
(Ⅱ)是否存在
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,使得
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成立?若存在,写出一组符合条件的
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的值;若不存在,请说明理由;
(Ⅲ)设
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,若对于任意的
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,不等式
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恒成立,求正整数
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的最大值.
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科目:高中数学
来源:不详
题型:解答题
(本小题15分)已知
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,

是实数,方程

有两个实根
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,
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,数列
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满足
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,
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,
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(Ⅰ)求数列
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的通项公式(用
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,
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表示);
(Ⅱ)若
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,
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,求
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的前
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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
(本小题共14分)
设
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是正数组成的数列,其前

项和为

,且对于所有的正整数

,有
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.
(I) 求
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,
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的值;
(II) 求数列
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的通项公式;
(III)令
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,
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,
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(
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),求
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的前20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
(本小题满分12分)
设各项为正的数列
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的前
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项和为
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
且满足:

(Ⅰ)求
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(Ⅱ)求
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(Ⅲ)设
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且
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求证:
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科目:高中数学
来源:不详
题型:填空题
数列
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和

的公共项由小到大排列成数列

,则

的通项公式
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=____________前n项和
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=_______________。
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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
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和
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的前
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项和分别为
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和
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,且
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,则使得
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为整数的正整数
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的个数是
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