Respuesta :
Answer:
[tex]a_{n}[/tex] = 2n + 5
Step-by-step explanation:
There is a common difference between consecutive terms, that is
9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 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 = 7 and d = 2 , then
[tex]a_{n}[/tex] = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5