Question: 2013 Fall Midterm - 11

Author: Pat Morin

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)

$f(n) = 2n^{2} - 6n + 14$

(b)

$f(n) = 2n^{2} - 7n + 14$

(c)

$f(n) = 2n^{2} + 7n + 14$

(d)

$f(n) = 2n^{2} + 6n + 14$