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

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

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

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

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