The given sequence 5, 9, 13, 17 follows an arithmetic progression with a common difference of 4.
To find the explicit formula, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 5 and the common difference is 4. So, the explicit formula for the given sequence is:
nth term = 5 + (n - 1) * 4