The first step is to determine if the sequence is arithmetic or geometeric. In a geometric sequence, the ratio of two consecutive terms is constant.This constant term is called the common ratio, r. This means that
144/24 = 864/144 = 6
The formula for determining the nth term, Tn of a geometric sequence 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 given information,
a = 24, r = 6
The expression for the nth term would be
24 x 6^n - 1
The correct option would be C because each term is being multiplied by 6 to get the next term.