Respuesta :

carlosego

Answer: third option.

Step-by-step explanation:

By definition we know tht the geometric sequences has a common ratio, which is represented with r.

This ratio can be calculated by dividing a term by the previous term.

Therefore, keeping the information above on mind, you have that the ratio r  of the geometric sequence given in the problem, is the shown below:

[tex]r=\frac{-\frac{1}{2}}{\frac{1}{10}}\\\\r=-5[/tex]

kudzordzifrancis

Answer:

The ratio of the sequence is -5

Step-by-step explanation:

The given geometric series is ;

[tex]\frac{1}{10},-\frac{1}{2},\frac{5}{2},...[/tex]

The ratio of the geometric sequence is given by;

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

[tex]r=\frac{\frac{5}{2}}{-\frac{1}{2}}[/tex]

We simplify to get;

[tex]r=-5[/tex]

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