1 .
The function $ f: \mathbb{N} \rightarrow \mathbb{N} $ is defined by
$ f(0) = 14 $
$ f(n+1) = f(n) + 4n - 5 $ for $ n \geq 0 $
What is $ f(n) $?
(a)
$f(n) = 2n^{2} - 7n + 14$
(b)
$f(n) = 2n^{2} + 7n + 14$
(c)
$f(n) = 2n^{2} + 6n + 14$
(d)
$f(n) = 2n^{2} - 6n + 14$