Ok Sofia I could get some help on this, it would be awesome :)

Question: Given the arithmetic sequence, 15, 18, 21, 24 write the explicit formula for the sequence

Part B: Find the 56th term.

Respuesta :

[tex] a_{n} [/tex] = a₁ + d(n - 1)

In the given problem, a₁ = 15 and d = 3

[tex] a_{n} [/tex] = 15 + 3(n - 1)  = 15 + 3n - 3   = 3n + 12

[tex] a_{56} [/tex] = 3(56) + 12  = 168 + 12   = 180

Answer: [tex] a_{n} [/tex] = 3n + 12, 180