(2*4)分之3+(4*6)分之3+(6*8)分之3+.+(98*100)分之 3=?

问题描述:

(2*4)分之3+(4*6)分之3+(6*8)分之3+.+(98*100)分之 3=?

(2*4)分之3+(4*6)分之3+(6*8)分之3+.+(98*100)分之 3
=3/2*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/98-1/100)
=3/2*(1/2-1/100)
=3/2*49/1000
=147/200