题目内容
(本小题满分12分)递减等差数列
中,
,
,
①求
的通项公式
.
②若bn=
,求
的前n项和
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848450480.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848466527.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848481572.png)
①求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848450480.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848528348.png)
②若bn=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848544365.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848559487.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848575388.png)
解:由a1+a7=10,a2·a4=45,得
解得![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848637729.png)
∴an=13-2n………………………………………………………………………………………6分
…………………………………………………………………12分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232008486061333.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823200848637729.png)
∴an=13-2n………………………………………………………………………………………6分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232008486531488.png)
略
![](http://thumb.zyjl.cn/images/loading.gif)
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