Which fraction will come next in the sequence: \(\frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{16}, ?\)

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  1. \(\frac{9}{32}\)
  2. \(\frac{10}{17}\)
  3. \(\frac{11}{32}\)
  4. \(\frac{12}{35}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{9}{32}\)
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Detailed Solution

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given:

Sequence: 

Pattern overview:

Fractions: 1, 3, 5, 7 ⇒ odd numbers increasing by 2 ⇒ next = 9

Denominator: 2, 4, 8, 16 ⇒ multiply by 2 each time ⇒ next = 32

So the next term is: 

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