Respuesta :

Answer:

C

Step-by-step explanation:

This is a geometric sequence with n th term

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

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

r = [tex]\frac{24}{16}[/tex] = [tex]\frac{36}{24}[/tex] = [tex]\frac{54}{36}[/tex] = [tex]\frac{3}{2}[/tex], hence

f(n) = 16 [tex](\frac{3}{2}) ^{(n-1)}[/tex] → C

batolisis

The form of the function that describes the sequence 16, 24, 36, 54,.... is f(x) = 16[tex](\frac{3}{2}) ^{n-1}[/tex]

What is a geometric progression?

A geometric progression is mathematical sequence in which each successive terms of the sequence differ from the preceding terms by a common ratio.

Analysis:

first term a = 16

second term ar = 24

common ratio(r) = second term/ first term = 24/16  = 3/2

The n-th term of a G.P is = a[tex]r^{n-1}[/tex] = 16[tex](\frac{3}{2}) ^{n-1}[/tex]

In conclusion, the function that describes the sequence 16, 24, 36, 54 is 16[tex](\frac{3}{2}) ^{n-1}[/tex]

Learn more about geometric progression: https://brainly.com/question/12006112

#SPJ2

Otras preguntas