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
答
原题应是:计算1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+。。。。。。+1/100-1/99
1/3-1/2+1/4-1/3+1/5-1/4+1/6-1/5+。。。。。。+1/100-1/99
=[(1/3+1/4+1/5+1/6+......+1/98+1/99)-(1/3+1/4+1/5+1/6+......+1/98+1/99)]+1/100-1/2
=[0]+1/100-1/2
=1/100-1/2
=-49/100
答
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