Originally Posted by

**darthsinistro** 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