Inactive Tutor answered • 02/04/19
Tutor
New to Wyzant
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
