(1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384)*128,简便计算,
题目
(1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384)*128,简便计算,
答案
(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...
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