Answer:
[tex]a_{n}[/tex] = 37n
Step-by-step explanation:
The explicit formula for 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 = 37 and d = 74 - 37 = 37, thus
[tex]a_{n}[/tex] = 37 + 37(n - 1) = 37 + 37n - 37 = 37n
