Answer:
c. F(x)=64( 3/4 )ˣ⁻¹
Step-by-step explanation:
You want the explicit function that describes the sequence 64, 48, 36, ....
The first number in the sequence is F(1) = 64. (This eliminates choices A and B.)
The common ratio of numbers in the sequence is ...
[tex]r=\dfrac{48}{64}=\dfrac{36}{48}=\dfrac{3}{4}\qquad\text{eliminates choice D}[/tex]
The explicit function can be written as ...
[tex]F(x)=F(1)\cdot r^{x-1}\\\\\boxed{F(x)=64\left(\dfrac{3}{4}\right)^{x-1}}\qquad\text{matches choice C}[/tex]