1-2分之1-4分之1-8分之1-16分之1-32分之1-64分之1等于多少(简便算法)

2024-11-30 01:19:58
推荐回答(3个)
回答1:

1-1/2-1/4-1/8-1/16-1/32-1/64=1-(1/2+1/4+1/8+1/16+1/32+1/64)

设S=1/2+1/4+1/8+1/16+1/32+1/64
S/2=1/4+1/8+1/16+1/32+1/64+1/128
S-S/2=1/2-1/128
S/2=63/128
S=63/64

1-1/2-1/4-1/8-1/16-1/32-1/64
=1-63/64
=1/64

回答2:

64分之1

回答3:

1/64