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
