themathman99 themathman99
  • 24-07-2020
  • Mathematics
contestada

Find the common ratio of the geometric sequence 4,3,9over4

Respuesta :

Newton9022 Newton9022
  • 25-07-2020

Answer:

0.75

Step-by-step explanation:

Given a geometric sequence: [tex]a_1,a_2,a_3...,a_n[/tex]

The common ratio is derived by dividing any next term by the preceeding term.

That is:

[tex]r=\dfrac{a_2}{a_1} =\dfrac{a_3}{a_2}=\cdots =\dfrac{a_n}{a_{n-1}}[/tex]

In the geometric sequence: 4,3,9/4

Common ratio, [tex]r=\dfrac{3}{4} =\dfrac{9/4}{3}=0.75[/tex]

The common ratio of the given geometric sequence is 0.75.

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