（1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384）*128,简便计算,_数学解答

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

人气：492 ℃　时间：2020-02-02 20:02:34

解答

(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...