15问答网 > 1⼀2=1-1⼀2,1⼀6=1⼀2-1⼀3,1⼀12=1⼀3-1⼀4,...计算1-1⼀2-1⼀6-1⼀12-1⼀30

1⼀2=1-1⼀2,1⼀6=1⼀2-1⼀3,1⼀12=1⼀3-1⼀4,...计算1-1⼀2-1⼀6-1⼀12-1⼀30

1⼀2=1-1⼀2,1⼀6=1⼀2-1⼀3,1⼀12=1⼀3-1⼀4,...计算1-1⼀2-1⼀6-1⼀12-1⼀20-1⼀30 少了个1⼀20

2024-12-04 15:13:30

推荐回答（4个）

回答1：

1-1/2-1/6-1/12-1/30
=1-[1/2+1/2-1/3+1/3-1/4+1/30]
=1-(1-1/4+1/30)
=1-1+1/4-1/30
=1/4-1/30
=13/30
。。。。。。。。。。。。。。。。。。。。。
1-1/2-1/6-1/12-1/20-1/30
=1-[1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6]
=1-(1-1/6)
=1-1+1/6
=1/6

回答2：

我怎么觉得少了一个1/20
1-1/2-1/6-1/12-1/20-1/30
=1-(1-1/2)-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-(1/5-1/6)
=1/6

回答3：

中间上不是还缺了一个1/20？
1-1/2-1/6-1/12-1/30
=1-(1-1/2)-(1/2-1/3)-(1/3-1/4)-(1/5-1/6)

回答4：

13/60