Answer:
[tex]a_{n}[/tex] = 2n + 7
Step-by-step explanation:
There is a common difference between consecutive terms , that is
11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 2 , then
[tex]a_{n}[/tex] = 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7
