1 . 已知递增数列{an}前n项和为Sn,且满足a1=3,4Sn﹣4n+1=an2,设bn
(n∈N*)且数列{bn}的前n项和为Tn
(Ⅰ)求证:数列{an}为等差数列;
(Ⅱ)若对任意的n∈N*,不等式λTn
n
•(﹣1)n+1恒成立,求实数λ的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50440b23115963817529e267f194166c.png)
(Ⅰ)求证:数列{an}为等差数列;
(Ⅱ)若对任意的n∈N*,不等式λTn
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145708a2cca54ecebb6001805a3eac69.png)
您最近一年使用:0次
2020-06-08更新
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482次组卷
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2卷引用:河南省南阳市第一中学2020-2021学年第一学期高二第二次月考数学试题
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2 . 已知数列
满足
,
.
(1)求证:数列
是等差数列,并求数列
的通项公式;
(2)记
,
为数列
的前
项和,若
对任意的正整数n都成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5a301af4d69b456bdc49bc4ddcd489.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ffb5a730f63c06263f86e1dcd14e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4635bab9739e3caea29347aade242e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac097510b27d634ef968986a79d6e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1518ee858653fb4ce4eb1a82a96ccfa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2019-11-14更新
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934次组卷
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4卷引用:河南省实验中学2019-2020学年高二上学期中数学(文)试题