Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive terms
r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = [tex]\frac{3}{2}[/tex]
This indicates the sequence is geometric with nth term ( explicit formula )
f(n) = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 16 and r = [tex]\frac{3}{2}[/tex] , then
f(n) = 16 [tex](\frac{3}{2}) ^{n-1}[/tex] → C
