Discussion Forum



Find the missing term in the following series.

1)

Which fraction comes next in the sequence $\frac{1}{2}, \frac{3}{4},\frac{5}{8}, \frac{7}{16}$ ?


A) $\frac{9}{32}$

B) $\frac{10}{17}$

C) $\frac{11}{34}$

D) $\frac{12}{35}$

Answer:

Option A

Explanation:

Clearly, the numerators of the fractions in the given sequence form the series 1, 3, 5, 7,

in which each term is obtained by adding 2 to the previous term.

The denominators of the fractions form the series 2, 4, 8, 16, ie., 21, 22, 23, 24,

So the numerator of the next fraction will be (7+2) = 9 and the denominator will be 25 = 32

Hence the answer is a ie.,  $\frac{9}{32}$