观察下列等式;1*1⼀2=1-1⼀2,2*2⼀3=2-2⼀3,3*3⼀4=3-3⼀4,……

请你计算(1-1/2)/10 x (2-2/3)/9 x (3-3/4)/8 x …… x (10-10/11)/1
2024-12-20 04:52:14
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回答1:

(1-1/2)/10 x (2-2/3)/9 x (3-3/4)/8 x …… x (10-10/11)/1
=(1-1/2) x (2-2/3) x (3-3/4)x …… x (10-10/11)/10*9*8*7*.....*1
=(1*1/2*2*2/3*......*10*10/11)/1*2*3*4*...*10
=1/2*2/3*3/4*4/5*.....10/11
=1/11