1/1*2+1/2*3+1/3*4+1/4*5.........+1/99*100
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/99-1/100
=1-1/100
=99/100
1又1/2-5/6+7/12-9/20+11/30-13/42+15/56
=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1+1/8
=1又1/8
希望能帮到你,@数学辅导团# 祝你学习进步,不理解请追问,理解请及时采纳!(*^__^*)