For this case we have a geometric sequence of the form:
[tex]-125, -25, -5, -1[/tex]
We want to find the common ratio between each term.
To do this, the next term between the previous term.
We have then:
[tex]\frac {-25} {- 125} = \frac {1} {5}\\\frac {-5} {- 25} = \frac {1} {5}\\\frac {-1} {- 5} = \frac {1} {5}\\[/tex]
Therefore, the common ratio between each term is:
[tex]r = \frac {1} {5}[/tex]
Answer:
the common ratio of the sequence is:
[tex]r = \frac {1} {5}[/tex]
