对于
(
为公比)的无穷等比数列
(即项数是无穷项),我们定义
(其中
是数列
的前
项的和)为它的各项的和,记为
,即
,则循环小数
的分数形式是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4aa6e09be51b2d4098b944e811f303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58abe92020722722506c7b12c7879ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eaa226d0faf6e0b71731f3c261be356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3726b5e02de9940fc06e7f2c008474cb.png)
更新时间:2017-03-29 15:02:33
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【知识点】 等比数列前n项和的性质
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【推荐2】各项均为正数的等比数列{an}的前n项和为Sn,已知S6=30,S9=70,则S3=________ .
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