1/1*2+1/2*3+1/3*4+1/4*5+…+1/199*200怎样解

问题描述:

1/1*2+1/2*3+1/3*4+1/4*5+…+1/199*200怎样解

=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/198-1/199)+(1/199+1/200)
=1-1/200
=199/200