给定两个数列
,
满足
,
,
.证明对于任意的自然数n,都存在自然数
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db87ffceab6741bf496f69449cc728d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e5b6a7d5f02b1bcad4651da55d7018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eae65e482011240d754603939aff90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb93fa7102e3102b7e699acd8cff4d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49c88cf3882a48ba6b5a93de74df61a.png)
![](https://img.xkw.com/dksih/QBM/2013/8/19/1571317009309696/1571317014691840/STEM/ea95fb4ded51409dbd9648f01e29bbea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae58cd66daebc6dcfeaec8cd883f8573.png)
12-13高三·江苏·课后作业 查看更多[2]
更新时间:2016-12-02 10:35:33
|
【知识点】 等比数列
相似题推荐
【推荐1】已知数列
是等差数列,其前n和为
,
,
,数列
满足
.
(1)求数列
,
的通项公式;
(2)数列
满足
求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f5017df77b6fd1e41729c8b4b85e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8258d53771e01dbc9fbc2ab65fe9781.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60014795b2325b03519b943090ae1143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
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【推荐2】等差数列
的前
项和为
,在条件①②③中选择一个作为已知,设
.
条件:①
,
;②
,
;③
,
.
注:选择多个条件分别作答,以第一个条件解答计分.
(1)求数列
,
的通项公式;
(2)设
,数列
的前
项和为
,求
.
![](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/656c61bf18fba1741ab69d36db180cb4.png)
条件:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c705ed1d40eb3d40ebadd05dbb645b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e6a1b0cf1299008b00be81b739dd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a51f7901c953a223f7a293fd8811e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c705ed1d40eb3d40ebadd05dbb645b73.png)
注:选择多个条件分别作答,以第一个条件解答计分.
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e213371996f2199131d0c3ca8aac88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cf40c3b4e46c1c52d7eadff64a9ec4.png)
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