题目内容
有一个由奇数组成的数列1,3,5,7,9,┅,现在进行如下分组:第一组含一个数
,第二组含两个数
,第三组含三个数
,第四组含四个数
,┅,经观察,可以猜想每组内各数之和与其组的编号数
的关系为( )
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109233394.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109249511.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109264573.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109280728.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109296304.png)
A.等于![]() | B.等于![]() | C.等于![]() | D.等于![]() |
B
依题意可得,当
时,到第
组时共含有
个奇数,所以第
组内的第一个数为
,总共有
个数,则组内各数之和为
,故选B
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109561386.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109576353.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109592611.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109654297.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109670901.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/20140823202109654297.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140823/201408232021097171074.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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A.等于![]() | B.等于![]() | C.等于![]() | D.等于![]() |