Find the common ratio of the geometric sequence: - 320,80,-20,5

Answer: - 0.25

Step-by-step explanation:

320/80=4

5/-0.25 = - 20

-20 / - 0.25=80

80/-0.25=-320

That's how I double confirm the answer I got works.

-1/4 if you prefer the answer written as a fraction.

-0.25 is you prefer the answer written as a decimal.

Step-by-step explanation:

Common ratio of a geometric sequence can be found by doing term divided by previous term.

That is you could do:

80/-320

or

-20/80

or

5/-20

If all these ratios are not equal, it isn't a geometric sequence and does not have a common ratio.

Let's see what these reduce to:

80/-320=1/-4 = -1/4 or - 0.25

-20/80=-1/4 or - 0.25

5/-20=1/-4=-1/4 or - 0.25

So the common ratio is - 0.25 or yo you can write it as - 1/4.