[tex] a_{0} [/tex]=3
r=common ratio: 12/6=2; 6/3=2
r=2, [tex] a_{n} [/tex]=[tex] 2^{n-1} [/tex]*3
plug in 12 for n:
[tex] a_{12} [/tex]=[tex] 2^{12-1} [/tex]*3
[tex] a_{12} [/tex]=[tex] 2^{11} [/tex]*3
[tex] a_{12} [/tex]=2048*3
[tex] a_{12} [/tex]=6144
The twelfth term in the sequence is 6144
