Respuesta :

Solution:

The numbers are given below as

[tex]\lbrace3600,1440,576,230.4,...\rbrace[/tex]

To figure out the common ratio, we will use the formula below

[tex]r=\frac{t_2}{t_1}=\frac{t_3}{t_2}=\frac{t_4}{t_3}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} r=\frac{1440}{3600}=\frac{576}{1440}=\frac{230.4}{576} \\ r=\frac{2}{5} \end{gathered}[/tex]

Hence,

The final answer is

The type of sequence is GEOMETRIC

The common ratio is 2/5