Final answer:
The explicit formula for the sequence is a_n = 3 + 5(n-1) and the recursive formula is a_n = a_n-1 + 5.
Step-by-step explanation:
To find an explicit formula for the sequence 3, 8, 13, 18, 23, ..., we can observe that each term is obtained by adding 5 to the previous term. Therefore, the explicit formula for this sequence can be written as an = 3 + 5(n-1), where n represents the position of the term.
To find a recursive formula, we can express the nth term in terms of the previous term. In this case, the recursive formula for the sequence is an = an-1 + 5.