Question : The next number of the sequence $\frac{1}{2},\frac{3}{4},\frac{5}{8},\frac{7}{16},........$ is:
Option 1: $\frac{10}{24}$
Option 2: $\frac{11}{32}$
Option 3: $\frac{9}{24}$
Option 4: $\frac{9}{32}$
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Correct Answer: $\frac{9}{32}$
Solution :
The given sequence seems to follow a pattern. The numerator of each fraction increases by 2 and the denominator is a power of 2.
For the next term, following the pattern, the numerator should be 7 + 2 = 9.
The denominator, being powers of 2, should be the next power of 2 after 16, which is 32.
So, the next number in the sequence should be $\frac{9}{32}$.
Hence, the correct answer is $\frac{9}{32}$.
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