What is the next fraction in this sequence? Simplify your answer.
1/98, 1/49, 2/49, 4/49, ...
The pattern in the given sequence is as follows:
1/98, 1/49, 2/49, 4/49, ...
To identify the pattern, we can see that the denominators remain constant throughout the sequence, which is 49. The numerators, on the other hand, double with each subsequent fraction: 1, 2, 4, ...
Therefore, the next fraction in the sequence will have a numerator that is double the previous numerator. Since the previous numerator was 4, the next numerator will be 2 times 4, which equals 8.
Hence, the next fraction in the sequence is 8/49.