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:作业帮 时间:2024/06/24 19:13:00
![1/1×1/2+1/2×1/3+1/3×1/4+…+1/29×1/30](/uploads/image/z/378720-0-0.jpg?t=1%2F1%C3%971%2F2%2B1%2F2%C3%971%2F3%2B1%2F3%C3%971%2F4%2B%E2%80%A6%2B1%2F29%C3%971%2F30)
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
希望对你有所帮助