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解题方法
1 . 各项均为正数的数列
的前
项和为
,
,且
.
(1)求证:数列
不是等差数列;
(2)是否存在整数
,使得
对任意的
都成立?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c624432439688019ef8fbcaf11cfbfd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322924b25caf788076ff0d97ebb27025.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)是否存在整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3d93ca2745c3813c135b46e582fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
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