hello
we simply need to check if the sequence given has a common ratio or a common difference and what is the value
[tex]-3,-6,-12,-24[/tex]let's check if the sequence has a common ratio
to do this, let's pick two consecutive terms and check if the value corresponds
[tex]\begin{gathered} d=\frac{-6}{-3}=22 \\ d=\frac{-12}{-6}=2 \\ d=\frac{-24}{-12}=2 \end{gathered}[/tex]from the calculation above, the value of the common ratio is 2 and this corresponds to the first option