已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 14:53:39
![已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3](/uploads/image/z/1967856-24-6.jpg?t=%E5%B7%B2%E7%9F%A5%3A1-1%2F2%3D1%2F2%2C1%2F2-1%2F3%3D1%2F6%2C1%2F3-1%2F4%3D1%2F12%E2%80%A6%E2%80%A6%E4%BD%A0%E8%83%BD%E5%BE%88%E5%BF%AB%E7%AE%97%E5%87%BA1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F3)
已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
1/2+1/6+1/12+1/20+1/30
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6;
17/15
1/2+1/6+1/12+1/20+1/3=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=5/6