Answer:
D
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
The recursive formula allows us to find the next term from the previous term by adding d to it
Given
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3
Hence
[tex]a_{n}[/tex] = 9 + (n - 1)(- 3) ← explicit formula → D
