1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11(简算)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 10:18:34
![1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11(简算)](/uploads/image/z/107206-70-6.jpg?t=1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B1%2F5%2A6%2B1%2F6%2A7%2B1%2F7%2A8%2B1%2F8%2A9%2B1%2F9%2A10%2B1%2F10%2A11%28%E7%AE%80%E7%AE%97%EF%BC%89)
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11(简算)
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11(简算)
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11(简算)
原式=1/2-1/3+1/3-1/4+1/5-1/6+……+1/10-1/11
=1/2-1/11
=9/22
=1/2-1/3+1/3-1/4+1/4-1/5+.......1/9-1/10+1/10-1/11
=1/2-1/11
=9/22
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11
=1/2-1/3 + 1/3-1/4 + 1/4-1/5 + 1/5-1/6 + 1/6-1/7 + 1/7-1/8 + 1/8-1/9 + 1/9-1/10 + 1/10-1/11
=1/2-1/11
=9/22