Question

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

Answer 1

Answer:

The ratio of the sequence is -5

Step-by-step explanation:

The given geometric series is ;

$\frac{1}{10},-\frac{1}{2},\frac{5}{2},...$

The ratio of the geometric sequence is given by;

$r=\frac{a_n}{a_{n-1}}$

$r=\frac{\frac{5}{2}}{-\frac{1}{2}}$

We simplify to get;

$r=-5$

Answer 2

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:

$r=\frac{-\frac{1}{2}}{\frac{1}{10}}\\\\r=-5$