1-1×2分之1+2×3分之1+…+50×51分之1

问题描述:

1-1×2分之1+2×3分之1+…+50×51分之1

1-1×2分之1+2×3分之1+…+50×51分之1
=1/(1*2)+1/(2*3)+.+1/(50*51)
=(1-1/2)+(1/2-1/3)+.+(1/50-1/51)
=1-1/51
=50/51