The given sequence is
[tex]6,12,24,48[/tex]Since
[tex]\begin{gathered} \frac{12}{6}=2 \\ \frac{24}{12}=2 \\ \frac{48}{24}=2 \end{gathered}[/tex]Then the sequence is geometric with a common ratio of 2
Then to find the next term multiply 48 by 2
[tex]48\times2=96[/tex]The second term is 96
The answer is B