题目内容
在各项均为正数的等比数列{an}中,a3=
-1,a5=
+1,则
+2a2a6+a3a7等于( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040605982344.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040605982344.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040606013394.png)
A.4 | B.6 | C.8 | D.8-4![]() |
C
在等比数列中,a3a7=
,a2a6=a3a5,
所以
+2a2a6+a3a7=
+2a3a5+
=(a3+a5)2
=(
-1+
+1)2
=(2
)2=8.
故选C.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040606045397.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040606013394.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040606013394.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040606045397.png)
=(
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040605982344.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040605982344.png)
=(2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040605982344.png)
故选C.
![](http://thumb.zyjl.cn/images/loading.gif)
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A.4 | B.6 | C.8 | D.8-4![]() |