The given sequence is an arithmetic sequence with a common difference of 5.

The general term (nth term) of an arithmetic sequence is given by the formula \(a_n = a_1 + (n-1)d\), where \(a_n\) is the nth term, \(a_1\) is the first term, \(n\) is the term number, and \(d\) is the common difference.

For the given sequence, the first term \(a_1\) is 3, and the common difference \(d\) is 5.

So, the general term is \(a_n = 3 + (n-1) \times 5\), which simplifies to \(a_n = 5n - 2\).

Therefore, the correct option is \(5n - 2\).