Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The given sequence is a geometric sequence.
We can find the common ratio using any two consecutive terms of the sequence.
[tex]r=\frac{\frac{-1}{10} }{\frac{x-2}{5} }=\frac{-1}{10}\times \frac{-5}{2}=\frac{1}{4}[/tex]
The common ratio is [tex]\frac{1}{4}[/tex]
