Question

(1-1/4)*(1-1/9)*(1-1/16)*(1-1/25)*(1-1/36)*(1-1/49)如何计算

Answer 1

(1-1/4)*(1-1/9)*(1-1/16)*(1-1/25)*(1-1/36)*(1-1/49)

=(1*3/2^2)*(2*4/3^2)*(3*5/4^2)*(4*6/5^2)*(5*7/6^2)*(6*8/7^2)

=(1*8)/(2*7)

=4/7