已知等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920675466.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920691276.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920706345.png)
,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920722639.png)
,則該數(shù)列的公差
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920737311.png)
( )
試題分析:根據(jù)等差數(shù)列前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920784297.png)
項和公式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240549208311027.png)
展開
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920847460.png)
有
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240549208621266.png)
,解該方程組可得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920893422.png)
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824054920784297.png)
項和公式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240549208311027.png)
;解方程組.
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