作业帮（1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384）*128,简便计算,
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/14 05:28:56
（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+1/48+1/96+1/192+1/384)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/16-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/8-1/128)*128
=(1/3)(1+1/2+1/4+1/4-1/128)*128
=(1/3)(1+1/2+1/2-1/128)*128
=(1/3)(1+1-1/128)*128
=(1/3)(2-1/128)*128
=(1/3)(255/128)*128
=255/3
或
(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+1/384-1/384)*128
=(2/3-1/384)*128
=((256-1)/384)*128
=255/3
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/16+1/16-1/128)*128
=(1/3)(1+1/2+1/4+1/8+1/8-1/128)*128
=(1/3)(1+1/2+1/4+1/4-1/128)*128
=(1/3)(1+1/2+1/2-1/128)*128
=(1/3)(1+1-1/128)*128
=(1/3)(2-1/128)*128
=(1/3)(255/128)*128
=255/3
或
(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+1/384-1/384)*128
=(2/3-1/384)*128
=((256-1)/384)*128
=255/3
（1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384）*128,简便计算,
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