(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let {a_n} be the sequence 3, 4, 8, 17,..., where a_0 = 3 and a_n+1 = a_n + (n+1)^2, n greater than or equal to 0. Find a polynomial such that a_n = f(n)

2. Relevant equations

f(n) = summation from r=0 to infinity of C(n,r) delta^r a_0

3. The attempt at a solution

I just have no idea how to start it. I have: f(n) = 3C(n, 0) + 4C(n, 1) + 8C(n,2) + something?

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# Homework Help: How to find a difference polynomial?

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