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已知数列{an}满足:a1=0,,n=2,3,4,….(Ⅰ)求a5,a6,a7的值;(Ⅱ)...
试题详情
已知数列{a
n}满足:a
1=0,
![](https://img.xintiku.com/upload/1d/67/1d67d4f3b591ce9b73f890c29dc2689f.png)
,n=2,3,4,….
(Ⅰ)求a
5,a
6,a
7的值;
(Ⅱ)设
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAA4CAYAAACi2pVMAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
,试求数列{b
n}的通项公式;
(Ⅲ)对于任意的正整数n,试讨论a
n与a
n+1的大小关系.
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②记
…
,证明:
.