Question

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 1

The correct option is A

$\frac{9}{32}$

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, i.e. $2^1,2^2,2^3,2^4$.
So, the numerator of the next fraction will be (7+2) i.e. 9 and the denominator will be $2^5$ i.e. 32.
Thus, the next term is $\frac{9}{32}$