Answer:
[tex]a_{n}[/tex] = 3n + 2
Step-by-step explanation:
The nth term( explicit formula ) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 3 , then
[tex]a_{n}[/tex] = 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2
