一已知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,那么1⼀30+1⼀42+1⼀50+1⼀72=?

2024-12-29 11:06:39
推荐回答(5个)
回答1:

1/30+1/42+1/50+1/72=(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)
=1/5-1/9
=4/45

回答2:

有规律啊,你看下:1/2=1*1/2 1/6=1/2*1/3 1/12=1/3*1/4
所以1/30+1/42+1/50+1/72=(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)
=1/5-1/9
=4/45

回答3:

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回答4:

抄错题了吧
1/30+1/42+1/56+1/72=?

回答5:

=1/5-1/9 =4/45