[tex]r = 2\\\\a_2 = 6\\\\a_1 + r = a_2\\\\a_1 + 2 = 6\\\\a_1 = 6-2\\\\\underline{a_1 = 4}[/tex]
[tex]a_{n} = a_1+ (n-1)\cdot r\\\\a_{n} = 4+(n-1)\cdot2\\\\a_{n} = 4+2n-2\\\\\boxed{a_{n} = 2n+2}[/tex]
