1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 = ?

1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 = ?

2 bình luận về “1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 = ?”

  1. 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
    => Đặt G:
    G= 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256
    2G= 2(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256) 
    2G= 1+1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128
    =>2G-G =(1+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 + 1/256)
    G=1-1/256
    G=255/256
     Vậy: G=255/256

    Trả lời

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