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Thread: Year 4 number sequence

  1. #1
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    Year 4 number sequence

    Hi all,

    got this from my 8 year olds home work and it has got me stumped.

    what is the next number in this sequence:

    40, 112, 459, 1000...

    any help appreciated
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  2. #2
    MHF Contributor

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    Re: Year 4 number sequence

    That looks very strange for a fourth grade assignment! My first thought was that perhaps each number is the previous number plus a fixed amount but that is not true. My second thought was that perhaps each number is the previous number times a fixed number but that also is not true. Now, it happens to be true that, given any n numbers there exist an n-1 degree polynomial that gives those number for x= 0, 1, 2, ..., n-1 but I wouldn't expect an 8 year old to understand any of that!
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