怎么简便怎么算 1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 10:57:08
![怎么简便怎么算 1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50](/uploads/image/z/1073470-22-0.jpg?t=%E6%80%8E%E4%B9%88%E7%AE%80%E4%BE%BF%E6%80%8E%E4%B9%88%E7%AE%97+1%2F1%C3%971%2F2%EF%BC%8B1%2F2%C3%971%2F3%EF%BC%8B1%2F3%C3%971%2F4%EF%BC%8B1%2F4%C3%971%2F5%2B%E2%80%A6%E2%80%A61%2F49%C3%971%2F50)
怎么简便怎么算 1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50
怎么简便怎么算 1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50
怎么简便怎么算 1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50
1/1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+……1/49×1/50
=(1-1/2)+(1/2-1/3)+.+(1/49-1/50)
=1-1/50
=49/50