A sequence is shown.

3, 6, 12, 24, 48, ...

Which function, f (n), represents the nth term of the sequence, where f (1) = 3?

Step-by-step explanation:

The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r

Common ratio = 6/3 = 12/6 = 2

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^ (n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 3

r = 2

The function, f (n), representing the nth term of the sequence is

f (n) = 3 * 2^ (n - 1)