Answer
a) $14$ and $17$
b) $a_{n+1} = a_n + 3$, $a_1 = 2$
c) $a_n = -1 + 3n$
Work Step by Step
a) The next term is simply the previous term with three added to it.
Thus, the next two terms are $14$ and $17$.
b) The first term is $2$, thus $a_1 = 2$.
Three is simply added to the previous term.
$a_{n+1} = a_n + 3$
c) In order to get the $n$th term, we need to add three, $n$ number of times, to the initial value.
$a_n = -1 + 3n$
We start with $-1$ so that our first term is $2$.
