Final answer:
The recursive rule for the sequence of mixed fractions is a positive example where mixed fractions are increasing or decreasing by a constant amount.
Step-by-step explanation:
The recursive rule for the sequence of mixed fractions can be determined by identifying the pattern in the sequence. If the mixed fractions are increasing or decreasing by a constant amount, then the recursive rule can be expressed as:
an = an-1 + d
where an is the nth term in the sequence, an-1 is the (n-1)th term, and d is the common difference between consecutive terms.
For example, if the sequence of mixed fractions is 1 3/4, 2 1/4, 2 3/4, 3 1/4, 3 3/4, the recursive rule would be:
an = an-1 + 1/2