Answer:
[tex]a_{n}[/tex] = 8n + 15
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 39 - 31 = 31 - 23 = 8
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 = 23 and d = 8, thus
[tex]a_{n}[/tex] = 23 + 8(n - 1) = 23 + 8n - 8 = 8n + 15 ← explicit formula
