1 .
Consider the following recursive function:
Which of the following is true?
| $f(0)$ | $\;=\;$ | $3,$ |
| $f(n + 1)$ | $\;=\;$ | $f(n) + 10n + 2\; \ \text{for all}$ $\text{integers}\ n \geq 0.$ |
(a)
for all $n \geq 0$: $f(n) = 5n^{2} - 3n + 3$
(b)
for all $n \geq 0$: $f(n) = 5n^{2} - 2n + 3$
(c)
for all $n \geq 0$: $f(n) = 5n^{2} - 3n + 2$
(d)
for all $n \geq 0$: $f(n) = 5n^{2} + 3n + 3$