Question

Determine the explicit form of the function that describes the sequence below.

Answer 1

Answer:

C

Step-by-step explanation:

This is a geometric sequence with n th term

$a_{n}$ = a $(r)^{n-1}$

Where a is the first term and r is the common ratio

r = $\frac{24}{16}$ = $\frac{36}{24}$ = $\frac{54}{36}$ = $\frac{3}{2}$, hence

f(n) = 16 $(\frac{3}{2}) ^{(n-1)}$ → C