1/(2*4)+1/(4*6)+1/(6*8)+1/(8*10)+……1/(48*50)=?

问题描述:

1/(2*4)+1/(4*6)+1/(6*8)+1/(8*10)+……1/(48*50)=?

(1/2*4)+(1/4*6)+(1/6*8)+……+(1/48*50)=(1/2)*{【(1/2)-(1/4)】+【(1/4)-(1/6)】+……+【(1/48)-(1/50)】}=(1/2)*【(1/2)-(1/4)+(1/4)-(1/6)+……+(1/48)-(1/50)】=(1/2)*...