12.9k views
1 vote
Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.

User Rnorris
by
5.8k points

1 Answer

4 votes

Explanation:

According to Geometric Progression :


a(nth) = a1 * {r}^(n - 1)

a(nth) = nth term of the G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.

Now,


24 = 3 * {r}^(4 - 1)


r = 2

The G.P. Is 3, 6, 12, 24.

Thus, p = 6 and q = 12

User Gurisko
by
6.5k points