The geometric sequence is given with the first term as 6, and the common ratio as 2. The nth term of a GP is derived as follows;
[tex]\begin{gathered} n_{th}=ar^{n-1} \\ \text{When } \\ a=6,r=2 \\ n_2_{}=6\times2^{2-1} \\ n_2=6\times2^1 \\ n_2=12 \\ n_3=6\times2^{3-1} \\ n_3=6\times2^2 \\ n_3=6\times4 \\ n_3=24 \\ n_4=6\times2^{4-1} \\ n_4=6\times2^3 \\ n_4=6\times8 \\ n_4=48 \end{gathered}[/tex]Therefore the first 4 terms are
6, 12, 24 and 48