1/2+1/4+1/8+1/16+……1/128=?

6个回答

  • 必须根据小学的理解力来解题,高等方法不被接受

    1/2+1/4+1/8+1/16+1/32+1/64+1/128

    =(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128)-1/128

    =(1/2+1/4+1/8+1/16+1/32+1/64+1/64)-1/128

    =(1/2+1/4+1/8+1/16+1/32+1/32)-1/128

    =(1/2+1/4+1/8+1/16+1/16)-1/128

    =(1/2+1/4+1/8+1/8)-1/128

    =(1/2+1/4+1/4)-1/128

    =(1/2+1/2)-1/128

    =1-1/128

    =127/128