题目内容
设等差数列![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924318381.gif)
的前
项和为
,等比数列
的前
项和为
已知数列
的公比![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392445972.gif)
为![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924474577.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924490546.gif)
(Ⅰ
)求数列
,
的通项公式;
(Ⅱ)求![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924584740.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392459985.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924318381.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392433472.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924350192.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924365220.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924396379.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924350192.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924428219.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924396379.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392445972.gif)
为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924474577.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924490546.gif)
(Ⅰ
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392452185.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924318381.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924396379.gif)
(Ⅱ)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924584740.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318392459985.gif)
解:
(Ⅰ)设
的公差为
,则
.
解得
,所以
. ……4分
由
,得
,
又
,从而解得
,所以
. ……8分
(Ⅱ)
. ……10分
所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924896820.gif)
=
=
=
=
. ……14分
(Ⅰ)设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924615380.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924630198.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924646527.gif)
解得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924662234.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924677415.gif)
由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924693422.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924724386.gif)
又
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924802267.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924833241.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924833403.gif)
(Ⅱ)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231839248801134.gif)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924896820.gif)
=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231839249271036.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924942676.gif)
=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924958611.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823183924974440.gif)
略
![](http://thumb.zyjl.cn/images/loading.gif)
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