题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050136-61200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050136-16249.png)
A.4 | B.16 | C.-4 | D.-16 |
答案
解析
试题分析:由等比数列的性质可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050136-44315.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050121-17815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050121-31684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050107-61893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050107-29347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-87854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-50302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-12809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-31140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-79590.png)
(1)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050107-29347.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050107-29347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050109-93298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050109-78393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050109-69270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050109-97925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050110-90351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050110-54868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050109-69270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050110-67906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-50302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050110-50346.png)
(3)在满足(2)的条件下,求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050110-65454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050108-87854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050111-32367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050111-32367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050111-39256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050111-54682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050052-59915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050053-18750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050053-32993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050053-29797.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050053-75701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050053-49898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050054-67078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050054-49636.png)
(2)猜想
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050054-23889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050044-82412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050045-16396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050045-85254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050045-52700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014050034-50468.png)
(1)若数列{an}是“J2型”数列,且a2=8,a8=1,求a2n;
(2)若数列{an}既是“J3型”数列,又是“J4型”数列,证明:数列{an}是等比数列.
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