1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=?

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1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=?

1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=?
1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=?

1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=?
=1/3(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=1/3(1-1/256)×2
=85/128

2/3-(1/3)*(1/2)^127

1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384
=1/3+1/(2×3)+1/(4×3)+1/(8×3)+1/(16×3)+1/(32×3)+1/(64×3)+1/(128×3)
=(1/3)×(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=(1/3)×[1+1/2 +(1/2)²+(1/2)³+(1/2)⁴+(1/2)^5+(1/2)^6]
=(1/3)×1×[1-(1/2)^7]/(1-1/2)
=(1/3)×(255/256)/(1/2)
=85/128

1/3(1-(1/2)8)/(1-1/2)
=255/256*2/3
=85/128

1/3-1/6-1/12-1/24 简便计算方法 1/3+1/3+1/6+1/12+1/24+1/48+1/96 计算 2/3+1/6+1/12+1/24+1/48+1/96+1/192 1/3+1/6+1/12+1/24+1/48+1/96简便计算 1/3+1/6+1/12+1/24+1/48+1/96的简便方法. 1/3-1/6-1/12-1/24-1/48-1/96 1-2/3-1/6-1/12-1/24-1/48-……1/768 1-2/3-1/6-1/12-1/24-1/48-...-1/768=? -1/3〔-1/2(-1-x)-1/6〕-1/12=-1/24 2/1+6/1+12/1+24/1+48/1 (5/12+1/6-3/4)×(-24) 1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384=? （1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384）×128 (1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384)*128的简便运算 (1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384)*128 （1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384）*128,简便计算, 1/3+1/6+1/12+1/24+……1/96简便计算 1/3+1/6+1/12+1/24+1/48怎么简便计算?