题目内容
(本小题满分12分)
已知数列{an}的前n项和为Sn, Sn+1="4an+2," a1="1," bn=an+1-2an(n∈N*)
(1) 求数列{bn}的前n项和Tn.
(2)求 an![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231630100602601.gif)
已知数列{an}的前n项和为Sn, Sn+1="4an+2," a1="1," bn=an+1-2an(n∈N*)
(1) 求数列{bn}的前n项和Tn.
(2)求 an
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231630100602601.gif)
(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010075744.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010106613.gif)
解:(1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010122490.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010169506.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010184585.gif)
即![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010231452.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082316301024773.gif)
是以2为公比的等比数列
又![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010294547.gif)
--------------------------------------(6分)
(2)
是以
为公差的等差数列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010434667.gif)
-------------------------------------------------(12分 )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010122490.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010153595.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010169506.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010184585.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010200624.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010231452.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082316301024773.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010262395.gif)
又
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010294547.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010075744.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010325456.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010356543.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010372579.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010387511.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010403223.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010434667.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823163010106613.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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