Respuesta :

hlslily
Each value increases by 37
The explicit formula is:
a(n)=37+37(n-1)

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