1/2+1/4=3/4 1/2+1/4+1/8=7/8 1/2+1/4+1/8+1/16=15/16发现了什么?

问题描述:

1/2+1/4=3/4 1/2+1/4+1/8=7/8 1/2+1/4+1/8+1/16=15/16发现了什么?
观察下面的算式,你发现了什么?
1/2+1/4=3/4
1/2+1/4+1/8=7/8
1/2+1/4+1/8+1/16=15/16
用你发现的规律计算:1/2+1/4+1/8+1/16+1/32+1/64=
1-1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/256=

1/2+1/4+1/8+1/16+1/32+1/64=63/64
1-1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/256=1-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)=
1-255/256=1/256