作业帮1-1/2+1/6+1/12+1/20+...+1/72+1/90
来源：学生作业帮助网 编辑：作业帮 时间：2024/12/01 10:54:45
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1-1/2+1/6+1/12+1/20+...+1/72+1/90
1-1/2+1/6+1/12+1/20+...+1/72+1/90
1-1/2+1/6+1/12+1/20+...+1/72+1/90
原式=1-[（1-1/2）+(1/2-1/3)+(1/3-1/4)+...+(1/8-1/9)+(1/9-1/10)]
=1-(1-1/10)
=1/10