Hey there :)
-96, 48, -24, 12, -6
Each term is divided by - 2 or multiplied by [tex] -\frac{1}{2} [/tex]
[tex] \frac{48}{-96} [/tex] = [tex] -\frac{1}{2} [/tex]
[tex] \frac{-24}{48} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac{12}{-24} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac-{6}{12} [/tex] = [tex]- \frac{1}{2} [/tex]
The common ratio is -[tex] \frac{1}{2} [/tex]