Answer & tep-by-step explanation:
In a geometric sequence, the nth term is given by the formula:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
We are given that the third term is 16, so a3 = 16. We are also given that the common ratio is 2, so r = 2.
Substituting these values into the formula, we get:
a3 = a1 * r^(3-1)
16 = a1 * 2^2
16 = 4a1
a1 = 4
Therefore, the formula for the nth term is:
an = 4 * 2^(n-1)