What is the explicit formula for this sequence?

Answer:
D
Step-by-step explanation:
This is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4 and a = - 6, hence
[tex]a_{n}[/tex] = - 6 + (n - 1)4 → D