Answer:
-5
Step-by-step explanation:
Geometric sequences have common ratios.
You can see if a sequence is geometric by computing:
[tex]\frac{\text{term}}{\text{previous term}}[/tex].
If you get the same result per consecutive pair, then there is a common ratio and the sequence is geometric.
Let's see:
[tex]\frac{-250}{50}=\frac{50}{-10}=\frac{-10}{2}[/tex]
So if this equations holds (if all 3 fractions equal the same thing), then is geometric and we have also have computed the common ratio.
The first fraction results in -250/50=-5.
The second fraction results in 50/-10=-5.
The third fraction results in -10/2=-5.
All three fractions are equal and so the equation holds so it is geometric and the common ratio is -5.
