Final answer:
The next term in the pattern is 9/7, as it follows the established sequence in the numerators increasing by 2 and an alternating pattern in the denominators which are odd numbers, with every second term being the reciprocal of the previous term.
Step-by-step explanation:
To determine the next term in the pattern: 1/2, 3/3, 5/7, 7/5, we need to observe the sequence of both, the numerators and the denominators. The numerator is increasing by 2 each time: 1, 3, 5, 7, ... This continuing pattern would give us a numerator of 9 for the next term. Now, looking at the denominators: 2, 3, 7, 5, we notice they are not following a simple arithmetic progression. However, we can discern a pattern where every second term is the reciprocal of the previous term (3 is the reciprocal of 1/3, 5 is the reciprocal of 1/5). This implies that the pattern of denominators is alternating between a constant (3) and the sequential odd numbers (2, 5, 7, ...). The next term should use the next odd number in the sequence, which is 7. However, to maintain the pattern of reciprocals, it should be one more than the last used odd number, making it 9 to avoid repetition and preserving the pattern.
The correct answer is A) 9/7, which continues the established pattern in both the numerator and denominator.