Question

Find the next three terms in the sequence below
1, 16, 71, 252, _____, _____, _____

Answer 1

help me

Answer 2

If it's a polynomial, then for x = 1,2,3,4 you have y = ax^3+bx^2+cx+d
solving those four equations, I get
y = 43/3 x^3 - 66x^2 + 338/3 x - 60
Not too likely to just guess that.
That would make the next three terms
645, 1336, 2411