1-1/2-1/4-1/8-1/16-……-1/256=?計算過程及規律

1-1/2-1/4-1/8-1/16-……-1/256=?計算過程及規律


1-1/2-1/4-1/8-1/16-……-1/256=1-(1/2+1/4+1/8+1/16-……+1/256)=1-(1-1/2+1/2-1/4+1/4-1/8+……-1/128+1/128-1/256)=1-(1-1/256)=1-255/256=1/256這一計算的訣竅就是裂項相消,就是把1/2拆成1-1/2,把1/4拆成…



1-2分之1-4分之1-8分之···256分之1
我明天要交


1-1/2-1/4-1/8-…-1/256
=1-(1-1/2)-(1/2-1/4)-(1/4-1/8)-…-(1/128-1/256)
=1-1+1/2-1/2+1/4-1/4+1/8-.-1/128+1/256
=1/256



0.75:1(化簡)快


3:4