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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

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/12 13:26:07
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