Geometric sequences is a sequence of numbers where each term after the first is found by multiplicatying the previous by a common ratio, and is given by the expression:
[tex]a_n=a_1r^{n-1}[/tex]an= the term we want to find
a1= the first term of the sequence
n= the position of the term
r= ratio is the cocient between two consecutive pairs
r=6/3=2
r=12/6=2
So, the 50th term would be:
[tex]\begin{gathered} a_{50}=(3)(2)^{50-1} \\ a_{50}=(3)(2)^{49} \\ a_{50}=(3)(5.62\times10^{14}) \\ a_{50}=1.68\times10^{15} \end{gathered}[/tex]