数列
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的前
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项和为( )
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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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的各项均为正数,
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为其前
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项和,对于任意
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,总有
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成等差数列.
(1)求数列
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的通项公式;
(2)设数列
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的前
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项和为
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,且
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,求证:对任意实数
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是常数,
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和任意正整数
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,总有
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(3)正数数列
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中,
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求数列
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中的最大项.
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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
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、
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的前n项和分别为
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、
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,
且满足
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,
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.
(Ⅰ)求
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、
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的值,并证明数列
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是等比数列;
(Ⅱ)试确定实数
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的值,使数列

是等差数列.
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科目:高中数学
来源:不详
题型:解答题
已知首项不为零的数列
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的前n项和为
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,若对任意的r、s
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,都有
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.
(1)判断
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是否为等差数列,并证明你的结论;
(2)若
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,数列

的第n项是数列
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的第
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项
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,求
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;
(3)求和
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.
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科目:高中数学
来源:不详
题型:单选题
数列

的前
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项和为
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,且
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,
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.则数列
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( )]
A.是等差数列但不是等比数列 | B.是等比数列但不是等差数列 |
C.既是等差数列又是等比数列 | D.既不是等差数列又不是等比数列 |
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科目:高中数学
来源:不详
题型:单选题
设
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则数列
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从首项到第几项的和最大( )
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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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中,恰好有5个
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,2个
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,则不相同的数列共有
个.
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科目:高中数学
来源:不详
题型:单选题
在平面直角坐标系中,定义
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到点
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的一个变换为“
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”,已知
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是经过“
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”得到的一列点。设
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的值为 ( )
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