Final answer:
The next fraction in the arithmetic sequence with a constant denominator of 17 and numerators decreasing by 1 each time is 3/17.
Step-by-step explanation:
The arithmetic sequence in question includes fractions with a constant denominator of 17 and the numerators are decreasing by 1 for each subsequent term. To determine the next fraction in this sequence, we simply subtract 1 from the numerator of the last given fraction. This method gives us the sequence of numerators as 7, 6, 5, 4, and therefore the next numerator would be 3. Thus, the next fraction in the sequence is 3/17.