Answer:
[tex]a_{n}[/tex] = 4n + 3
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 11 - 7 = 15 - 11 = 19 - 15 = 4
This indicates the sequence is arithmetic with n th 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, thus
[tex]a_{n}[/tex] = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3
