Question

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

Answer 1

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