23-24高三上·广东深圳·阶段练习
名校
解题方法
1 . 已知数列
的首项不为0,前
项的和为
,满足
.
(1)证明:
;
(2)若
,证明:
;
(3)是否存在常数
,使得
为等比数列?若存在,求出
的所有可能值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/9397a90e4ea953c72b03e20133870979.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4176db941f1af7fcda4ee86c03427f63.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbaa33825e93751c26b463890ac672a.png)
(3)是否存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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