Answer:
[tex]r=\dfrac{3}{2}[/tex]
Step-by-step explanation:
Consider the sequance
[tex]a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...[/tex]
Note that
[tex]\dfrac{a_2}{a_1}=\dfrac{12}{8}=\dfrac{3}{2}\\ \\ \\\dfrac{a_3}{a_2}=\dfrac{18}{12}=\dfrac{3}{2}\\ \\ \\\dfrac{a_4}{a_3}=\dfrac{27}{18}=\dfrac{3}{2}\\ \\...[/tex]
So, common ratio is
[tex]r=\dfrac{3}{2}=1\dfrac{1}{2}[/tex]
