Given the Infinite Geometric Series:
[tex]3+12+48+192+...[/tex]
You can find its sum by using this formula:
[tex]S=\frac{a_1}{1-r}[/tex]
Where "r" is the common ratio and the first term is:
[tex]a_1[/tex]
In this case, you can identify that each term is obtained by multiplying the previous term by 4. Therefore:
[tex]r=4[/tex]
You can identify that:
[tex]a_1=3[/tex]
Therefore, you can substitute values into the formula and evaluate:
[tex]S=\frac{3}{1-4}[/tex][tex]\begin{gathered} S=\frac{3}{-3} \\ \\ S=-1 \end{gathered}[/tex]
Hence, the answer is: Option B.
