1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/30

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/09 02:39:06
1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/301/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/301/1×1/2+1/2×1/3+1/3×1/4+…+1/29

1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/30
1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/30

1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/30
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/29-1/30)
=1+1-1/30
=59/30
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