Answer: the correct answer is
an = 12 × (1/3)^(n - 1)
Explanation:
In a geometric series, the consecutive terms differ by a common ratio
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 between successive terms in the sequence.
n represents the number of terms in the sequence.
From the information given,
a = 12
r = 4/12 = (4/3)/4 = 1/3
The formula that represents the nth term would be expressed as
Tn = 12 × (1/3)^(n - 1)