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.