ANSWER
The fiftieth term is 286.
EXPLANATION
A sequence with a common difference,
[tex]d = 6[/tex]
is an arithmetic progression.
The nth term is
[tex]a_n=a_1 + d(n - 1)[/tex]
If the sixth term is 22 then,
[tex]22=a_1 + 6(6 - 1)[/tex]
[tex]22=a_1 + 30[/tex]
[tex]22 - 30=a_1[/tex]
[tex]a_1 = - 8[/tex]
The fiftieth term is
[tex]a_{50}= - 8 + 6(50 - 1)[/tex]
[tex]a_{50}= - 8 + 6 \times4 9[/tex]
[tex]a_{50}=- 8 +294[/tex]
[tex]a_{50}=286[/tex]
