We can recognize the sequence is an arithmetic progression by noticing that the common difference between each term is 6.
\(f(n) = a+(n-1)d\)
where f(n) is the sequence
n is the term number
d is the common difference
and a is the starting term
We are well aware that our starting term, and hence a, is 2 and our difference, and hence d, is 6.
So our polynomial function is
\(f(n) = 2+6(n-1)\)
