计算1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+.+100/1-99/1

问题描述:

计算1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+.+100/1-99/1

1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+.+100/1-99/1
=-1/2+(1/3-1/4)+(1/4-1/4)+...+(1/99-1/99)+1/100
=1/100-1/2
=-49/100