Given the sequence: 2, 8, 14, 20, ...
The given sequence is an arithmetic sequence. The sequence is arithmetic because the common difference between each term is 6.
In this sequence the common difference is 6, therefore let d=6. The first term, `a_1` is 2, therefore let `a_1=2` .
The formula to find the nth term of an arithmetic sequence is
Substitute in the `a_1` and d then simplify the expression.
The expression for the nth term of the sequence is `a_n=6n-4.`