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Math Help - Method of diffrences

  1. #1
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    Lightbulb Method of diffrences

    Hi im looking to describe the method of differences in a more general way. Let us have the following problem.

    Series= a1,a2,a3,......an
    Difference[bn=a(n+1)-an] = b1,b2,b3-----bn
    so on till say the dth difference

    d1,d2----dn

    Now suppose we finally see a pattern in the dth level of difference and we define it as f(n)[not nessecarily an AP]

    Can i now somehow retrace my steps to derive a general form for the a(n)?
    A detailed explanation if any would be appreciated.

    Thank you
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by darthsinistro View Post
    Hi im looking to describe the method of differences in a more general way. Let us have the following problem.

    Series= a1,a2,a3,......an
    Difference[bn=a(n+1)-an] = b1,b2,b3-----bn
    so on till say the dth difference

    d1,d2----dn

    Now suppose we finally see a pattern in the dth level of difference and we define it as f(n)[not nessecarily an AP]

    Can i now somehow retrace my steps to derive a general form for the a(n)?
    A detailed explanation if any would be appreciated.

    Thank you
    Can you be a bit specific, a dummy question with the place you hanged will be better

    An example in this thread
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