The formula for determining the nth term of a geometric sequence is expressed as
an = a1 x r^(n - 1)
where
n represents the number of terms in the sequence
r represents the common ratio
a1 represents the first term of the sequence
an is the nth term of the sequence
From the information given
r = 3
a1 = 2
to find the third term, a3 of the sequence, it means n = 3. Thus, we have
a3 = 2 x 3^(3 - 1)
a3 = 2 x 3^2
a3 = 2 x 9
a3 = 18
the third term of the geometric sequence is 18
