Find a polynomial function f (n) such that f (1), f (2), ..., f (8) is the following sequence.

4, 11, 18, 25, 32, 39, 46, 53

A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general defintion of a polynomial, and define its degree.

so the answer is

where

f (n) = 4 + 7n

where

f (0) = 4 + 7 (0) = 4

f (1) = 4 + 7 (1) = 11