Find the summation,

Question

9+16+29+54+103+............nth term

Answer 1

Hmm. Using Newton's Divided Differences, we get

Tn = 1/4 (x^4-6x^3+23x^2-14x+32)
Sn = 1/20 x(x^4-5x^3+25x^2+15x+144)

Seems a bit complicated for the average induction problem.