Answer:
[tex]a_{n}[/tex] = 7n - 3
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 11 - 4 = 18 - 11 = 25 - 18 = 7
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 = 4 and d = 7 , thus
[tex]a_{n}[/tex] = 4 + 7(n - 1) = 4 + 7n - 7 = 7n - 3
