Respuesta :

Step-by-step explanation:

Data given

(1,3), (2, 6), (3, 12), (4, 24)

Using the range as sequence

3, 6, 12, 24

Part A

The data is displaying a geometric sequence as each term is rising twice, so the common ratio is 2

Part B

Recursive formula

t₁ = 3

tₙ = 3*2ⁿ

t₅ =3*2⁵ = 3*32 = 96 minutes

Part C

Explicit formula

t(n) = 3*2ⁿ

t(9) = 3*2⁹ = 3*512 = 1536 minutes