(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-1/100)
=(1*3/2^2)*(2*4/3^2)*(3*5/4^2)*(4*6/5^2)*.......*(99*101/100^2)
=(1/2)*(101/100)
=101/200
(1-1/4)乘以(1-1/9)乘以(1-1/16)乘以...乘以(1-1/100)
=(1-(1/2)²)*(1-(1/3)²)*(1-(1/4)²)*...*(1-(1/10)²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)....(1-1/10)(1+1/10)
=1/2*(3/2*2/3)*(4/3*3/4)*(5/4*...*9/10)*11/10
=1/2*11/10
=11/20
题目有问题,前后数没有规律,不能确定个数。