1/1*2+1/2*3+1/3*4+1/4*5=?1/1*2+1/2*3+1/3*4+1/4*5=?最好写得易懂一些
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 17:31:04
![1/1*2+1/2*3+1/3*4+1/4*5=?1/1*2+1/2*3+1/3*4+1/4*5=?最好写得易懂一些](/uploads/image/z/13556449-1-9.jpg?t=1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%3D%3F1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%3D%3F%E6%9C%80%E5%A5%BD%E5%86%99%E5%BE%97%E6%98%93%E6%87%82%E4%B8%80%E4%BA%9B)
1/1*2+1/2*3+1/3*4+1/4*5=?1/1*2+1/2*3+1/3*4+1/4*5=?最好写得易懂一些
1/1*2+1/2*3+1/3*4+1/4*5=?
1/1*2+1/2*3+1/3*4+1/4*5=?最好写得易懂一些
1/1*2+1/2*3+1/3*4+1/4*5=?1/1*2+1/2*3+1/3*4+1/4*5=?最好写得易懂一些
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
=1-1/5
=4/5
1/1*2+1/2*3+1/3*4+1/4*5
=1-1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
然后括号打开全部约掉得
1-1/5=4/5
所以答案就是4/5
4/5