1-1/2=1/2
1/2-1/4=1/4
.
依此类推(这个是思路)
所以
原式=1+(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)
=1+1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32
=2-1/32
=61/32
1-1/2=1/2
1/2-1/4=1/4
.
依此类推(这个是思路)
所以
原式=1+(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)
=1+1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32
=2-1/32
=61/32