Answer:
[tex]a_{n}[/tex] = 4n + 3
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 7 = 15 - 11 = 19 - 15 = 4
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 = 4 , then
[tex]a_{n}[/tex] = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3
