The sequence is 6, 14, 22, 30, 38, 46.
As you can observe, the sequence is increasing by a difference of 8 because 6+8=14, 14+8=22, 22+8=30, and so on. We have to use the arithmetic sequence formula
[tex]a_n=a_1+(n-1)\cdot d[/tex]Where a1 = 6 and d = 8.
[tex]\begin{gathered} a_n=6+(n-1)\cdot8 \\ a_n=6+8n-8 \\ a_n=8n-2 \end{gathered}[/tex]