Final answer:
The recursive formula is an = an-1 + 0.25, and the explicit formula is an = 5 + (n-1)0.25.
Step-by-step explanation:
To find the recursive formula for the arithmetic sequence, we need to determine the common difference between consecutive terms. In this case, the common difference is 0.25 (the difference between each term is 0.25).
The recursive formula for an arithmetic sequence is given by: an = an-1 + d, where an represents the nth term of the sequence and d is the common difference. In this case, a recursive formula for the given sequence is: an = an-1 + 0.25.
As for the explicit formula, it can be obtained using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference. Since the first term of the sequence is 5, we can write the explicit formula as: an = 5 + (n-1)0.25.