Question

Determine the ratio of the geometric sequence: 1/10, -1/2, 5/2,...

-1/5

1/5

-5

5

Answer 1

The ratio of the sequence is -5

Explanation:

The given geometric series is ;

`(1)/(10),-(1)/(2),(5)/(2),...`

The ratio of the geometric sequence is given by;

`r=(a_n)/(a_(n-1))`

`r=((5)/(2))/(-(1)/(2))`

We simplify to get;

`r=-5`

Answer 2

Answer: third option.

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:

`r=(-(1)/(2))/((1)/(10))\\\\r=-5`