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Math Help - Converting a series to AP

  1. #1
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    Converting a series to AP

    If i have a series of natural numbers then how many numbers must be added to this series so that the resulting series is in AP ?
    E.g
    1,3,7,13
    then i need to add 3 numbers i.e 5,9 and 11 so the resulting series is in AP.
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  2. #2
    MHF Contributor
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    I think you would need to find the lowest arithmetic mean...
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  3. #3
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    Quote Originally Posted by Prove It View Post
    I think you would need to find the lowest arithmetic mean...
    arithmetic mean would be simply sum of numbers / number of them so lowest of what?
    could you please explain a bit ?
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  4. #4
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    Quote Originally Posted by pranay View Post
    If i have a series of natural numbers then how many numbers must be added to this series so that the resulting series is in AP ?
    E.g
    1,3,7,13
    then i need to add 3 numbers i.e 5,9 and 11 so the resulting series is in AP.
    Look for the greatest common divison of the first differences.

    CB
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  5. #5
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    Thank you all so much
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