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1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90怎么做?

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/16 19:09:38
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90怎么做?
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1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=1-1/2+1/2-1/3+1/3-1/4+……1/9-1/10 (除了1与1/10,两两抵消)
=1-1/10
=9/10