AndreaEnebechi
AndreaEnebechi AndreaEnebechi
  • 08-08-2020
  • Mathematics
contestada

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

Respuesta :

Ankit221005
Ankit221005 Ankit221005
  • 09-08-2020

Step-by-step explanation:

According to Geometric Progression :

[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]

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,

[tex]24 = 3 \times {r}^{4 - 1} [/tex]

[tex]r = 2[/tex]

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

Thus, p = 6 and q = 12

Answer Link

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