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0.142857,0.285714,0.428571,0.571428的规律是什么,每个数两头分别循环

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/25 22:38:23
0.142857,0.285714,0.428571,0.571428的规律是什么,每个数两头分别循环
1/7=0.142857循环
2/7=0.285714循环
3/7=0.428571循环
4/7=0.571428循环
5/7=0.714285循环
6/7=0.857142循环
7/7=0.999999循环=1
8/7=1.142857循环
9/7=1.285714循环
10/7=1.428571循环
11/7=0.571428循环
12/7=0.714285循环
13/7=0.857142循环
14/7=1.999999循环=2
……
依此类推,
(7n+1)/7=n.142857循环
(7n+2)/7=n.285714循环
(7n+3)/7=n.428571循环
(7n+4)/7=n.571428循环
(7n+5)/7=n.714285循环
(7n+6)/7=n.857142循环
(7n+7)/7=n.999999循环=(n+1)
其中n为非负整数