题目内容
(2009辽宁卷理)等差数列![](http://thumb.zyjl.cn/pic1/img/20090630/20090630091118001.gif)
![](http://thumb.zyjl.cn/pic1/img/20090630/20090630091118002.gif)
![](http://thumb.zyjl.cn/pic1/img/20090630/20090630091118003.gif)
![](http://thumb.zyjl.cn/pic1/img/20090630/20090630091118004.gif)
![](http://thumb.zyjl.cn/pic1/img/20090630/20090630091118005.gif)
解析:∵Sn=na1+n(n-1)d
∴S5=5a1+10d,S3=3a1+3d
∴6S5-5S3=30a1+60d-(15a1+15d)=15a1+45d=15(a1+3d)=15a4
![](http://thumb.zyjl.cn/images/loading.gif)
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题目内容
(2009辽宁卷理)等差数列解析:∵Sn=na1+n(n-1)d
∴S5=5a1+10d,S3=3a1+3d
∴6S5-5S3=30a1+60d-(15a1+15d)=15a1+45d=15(a1+3d)=15a4