Hi im looking to describe the method of differences in a more general way. Let us have the following problem.
Difference[bn=a(n+1)-an] = b1,b2,b3-----bn
so on till say the dth difference
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.