Answer:
you are correct
Step-by-step explanation:
The sequence has a common difference between consecutive terms
d = 9 - 5 = 5 - 1 = 1 - (- 3) = 4
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 = 4, thus
[tex]a_{n}[/tex] = - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7
