题目内容
已知
数列
中,对任何正整数
,等式
=0都成立,且
,当
时,
;设
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
为数列
的前n项和,
求
的值.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134353826776.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134353998263.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354014192.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354201682.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354216252.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354248249.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354263257.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354279413.gif)
(Ⅰ)求数列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354294379.gif)
(Ⅱ)设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354310220.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354326409.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354357697.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354419429.gif)
(I)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354435572.gif)
(Ⅱ)16
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354435572.gif)
(Ⅱ)16
(Ⅰ)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354450815.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354606700.gif)
根据已知,![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354263257.gif)
--------------------4分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343546531219.gif)
是
公比
的等比数列。------------------------------6分![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343548251046.gif)
①
②
①-②得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082313435487215823.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354450815.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354606700.gif)
根据已知,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354263257.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354638853.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343546531219.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354731395.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354809254.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823134354809286.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343548251046.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343548401181.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231343548561872.gif)
①-②得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082313435487215823.jpg)
![](http://thumb.zyjl.cn/images/loading.gif)
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