Final answer:
The recursive formula for the given sequence is a1 = 2 and an = an-1 - 6.
Step-by-step explanation:
To find a recursive formula for the sequence 2, -4, -10, -16, -22, we start by examining the pattern. We can see that each term is obtained by subtracting 6 from the previous term. So, the recursive formula would be:
a1 = 2
an = an-1 - 6
where a1 is the first term and an is the nth term.