Notice that there is a common ratio of -4 between the numbers of the sequence:
[tex]\begin{gathered} 3\times-4=-12 \\ -12\times-4=48 \\ 48\times-4=-192 \end{gathered}[/tex]Use the same method to predict the next three numbers:
[tex]\begin{gathered} -192\times-4=768 \\ 768\times-4=-3072 \\ -3072\times-4=12,288 \end{gathered}[/tex]Therefore, the next three numbers, are:
[tex]768,-3072,12288[/tex]