Answer:
[tex]a_{n}[/tex] = 9 - 6n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = - 6 , thus
[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n
