2014·北京西城·二模
名校
1 . 在无穷数列
中,
,对于任意
,都有
,
. 设
, 记使得
成立的
的最大值为
.
(1)设数列
为1,3,5,7,
,写出
,
,
的值;
(2)若
为等差数列,求出所有可能的数列
;
(3)设
,
,求
的值.(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0a54ddeddaa507a50af7e3f381791f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d452e25c34e15eec8393ae213911798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69726bca10112fb049f0f1a9cb1d4a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972201e55b52b195ea29af06b04b07c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ba9aa8f4e86ea3498ebb8a99d87e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
(1)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b22fe6e8c6ddc1b4114bb5002049a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e2d10a44a59e7f9f040c1750611855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede85251c091df6dfe7d96353fa6d637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53979b1af8fd6f789ef5e0da51c9fb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f3248553dade7cb8c414fdae0949af.png)
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2016-12-03更新
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