题目
题型:不详难度:来源:
数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045529-98881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045530-51390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045530-26679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045530-83355.png)
(Ⅰ)求证数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045530-97638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045529-98881.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045531-80395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045531-69348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045531-79911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045531-45163.png)
有的
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045531-15489.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045532-29028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045532-51222.png)
整理得,
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045532-41027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045532-87590.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045530-97638.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045533-97061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045533-50930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045533-41327.png)
∴n≥2时,
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045533-72965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045533-37405.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045529-98881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045534-43037.png)
(Ⅱ)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045534-10285.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045534-34359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045534-34726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045534-87967.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045535-27721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045535-35614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045535-27084.png)
故所求最大正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045535-58383.png)
解析
核心考点
试题【((本小题满分12分)数列各项均为正数,其前项和为,且满足.(Ⅰ)求证数列为等差数列,并求数列的通项公式;(Ⅱ)设, 求数列的前n项和,并求使 对所有的都成立的】;主要考察你对数列综合等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045522-46402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045522-40354.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045522-46402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045522-91121.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045523-89650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045523-62785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045523-89650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045523-13579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045514-32282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045514-66779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045515-96576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045515-58802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-64152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-75858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-89440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-64152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-75858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-61062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-64152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-75858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045516-61062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045508-62669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045508-97758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045509-59448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045509-50217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045509-72571.png)
大小关系为( )
A.![]() | B.![]() | C.![]() | D.大小关系不确定 |
(Ⅰ)请写出一个10的6阶数列;
(Ⅱ)设数列{bn}是各项为自然数的递增数列,若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045458-76614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045458-21107.png)
(考生务必将答案答在答题卡上,在试卷上作答无效)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045445-87025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-10428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-24309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-97822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-60849.png)
(Ⅰ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-10428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-15931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045447-37363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-97822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045446-60849.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045447-61551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045447-64441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045447-25426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045448-11456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045448-47434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045448-61460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045448-79977.png)
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