观察下列等式:1x1⼀2=1-1⼀2,2x2⼀3=2-2⼀3,3x3⼀4=3-3⼀4,……

2024-12-04 18:06:32
推荐回答(1个)
回答1:

1. nx(n/n+1)= n-(n/n+1)
2. 1x1/2=1-1/2,2x2/3=2-2/3,3x3/4=3-3/4,……
(1-1/2)/10x(2-2/3)/9x(3-3/4)/8x.....x(10-10/11)/1
=(1x1/2)/10x(2x2/3)/9x(3x3/4)/8x.....x(10x10/11)/1
=10/11