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Math Help - The Impossible Problem

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    1

    The Impossible Problem

    Hi all,
    My sister recently gave me the following puzzle and insited that it was definetly possible. After looking briefly at it, I cannot find any suitable solutions. Can anyone help ?

    Take the sequence
    -2,2,4,6,6
    this sequence is used to work out a subsequent sequence
    this is done as follows
    the first term (-2) is added to the second term (2) to form 0
    then the 1st term is added to the 3rd
    the 1st to the fourth
    the 1st to the fifth
    so far we have 0,2,4,4
    then you do second term added to third
    second added to fourth
    second added to fifth
    its now 0,2,4,4,6,8,8
    then you do third added to fourth
    third added to fifth
    then fourth added to fifth
    so the final sequence is 0,2,4,4,6,8,8,10,10,12
    -------------------------------------
    the puzzle is this
    starting with the final sequence, what was the original one (the one with the terms)
    the final squence given is as follows
    0,2,4,4,6,8,9,11,13,15

    Any help would be much appreciated
    Thanks
    Nicky
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  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by cheesebase View Post
    ...
    the puzzle is this
    starting with the final sequence, what was the original one (the one with the terms)
    the final squence given is as follows
    0,2,4,4,6,8,9,11,13,15
    Any help would be much appreciated
    Thanks Nicky
    1st+2nd ; EVEN number (0)
    1st+3rd ; EVEN number (2)
    1st+4th ; EVEN number (4)
    1st+5th ; EVEN number (4)

    ALL of the original numbers are ODD
    or
    ALL of the original numbers are EVEN
    or
    something is wrong wrong with the information.

    It's a tad difficult to get an odd number
    from the sum of two odd numbers or
    from the sum of two even numbers.

    Your title is correct.
    Fractional numbers do not work.
    .
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