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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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,满足
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(1)求
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,并猜想通项公式

。
(2)用数学归纳法证明(1)中的猜想。
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科目:高中数学
来源:不详
题型:解答题
已知数列{a
n}的前n项和
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,且S
n的最大值为8.
(1)确定常数k,求a
n;
(2)求数列

的前n项和T
n。
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科目:高中数学
来源:不详
题型:单选题
数列1,3,7,15,
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的通项公式

=( )
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科目:高中数学
来源:不详
题型:解答题
已知数列
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的前
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项和

,设数列

满足

,
(1)求数列

的通项公式;
(2)求数列

的前

项和

;
(3)设

,求
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.
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科目:高中数学
来源:不详
题型:解答题
已知数列

的通项公式

,

,试通过计算

的值,推测出

的值。
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科目:高中数学
来源:不详
题型:填空题
各项为正数的数列

,其前

项的和为

,且

,若
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,且数列

的前

项的和为
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,则
.
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科目:高中数学
来源:不详
题型:填空题
等差数列

、

的前n项和分别为
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、

,若
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,则
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____________.
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