1.(11-11/36)+(9-11/36×5)+(1-11/36×3)+(5-11/36×9)+(3-11/36×17)-11/36=?2.(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4)=?3.1+1/2+1/4+1/8+1/16+1/32=?

问题描述:

1.(11-11/36)+(9-11/36×5)+(1-11/36×3)+(5-11/36×9)+(3-11/36×17)-11/36=?
2.(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4)=?
3.1+1/2+1/4+1/8+1/16+1/32=?

3.
1+1/2+1/4+1/8+1/16+1/32
=1+1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32
=1+1-1/32
=1又31/32

1.原式=(11+9+1+5+3)-11/36×(1+5+3+9+17+1)=29-11/36×36=29-11=18
2.原式=[(1+1/2+1/3+1/4)-(1+1/2+1/3+1/4+1/5)]×(1/2+1/3+1/4) + (1+1/2+1/3+1/4)×1/5=1/5×1=1/5
3.原式=2-1/32=63/32