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

2个回答

  • (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

    =(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

    (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