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A series - solution 1

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1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + ... = 1
      1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + ... = 1/2
            1/8 + 1/16 + 1/32 + 1/64 + 1/128 + ... = 1/4
                  1/16 + 1/32 + 1/64 + 1/128 + ... = 1/8
                         1/32 + 1/64 + 1/128 + ... = 1/16
                                1/64 + 1/128 + ... = 1/32
                                       1/128 + ... = 1/64
                                               ...   ...
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1/2 + 2/4 + 3/8 + 4/16 + 5/32 + 6/64 + 7/128 + ... = 2