Answer:
the geometric sequence is 36.
Explanation:
To find the 3rd term in a geometric sequence, we can use the following formula:
a_n = a_1 * r^(n - 1)
where:
a_n is the nth term in the sequence
a_1 is the first term in the sequence
r is the common ratio
n is the number of the term we are looking for
In this case, we are looking for the 3rd term, so n = 3. We also know that the first term (a_1) is 25 and the common ratio (r) is 1.2.
Substituting these values into the formula, we get:
a_3 = 25 * 1.2^(3 - 1)
a_3 = 25 * 1.2^2
a_3 = 25 * 1.44
a_3 = 36
Therefore, the 3rd term in the geometric sequence is 36.