Geometric progression!!! Help pleasee

Question

Given a geometric progression p,3,q/p and q

express q in terms of p

Answer 1

p,3,q/p and q

Express q in terms of p

The key fact about a geometric progression is that the ratio of each term to the previous one is the same. That means that we can write several equations based on the information you’ve got:

3/p = (q/p)/3 = q/(q/p)

Let’s simplify these

3/p = q/3p = pq/q = p

Since we are to find q in terms of p, we’ll use the last two terms:

q/3p = p

Solve for q:

q = 3p^2