Question

The term after $\frac{1}{20}$ in the sequence $\frac{1}{2},\frac{1}{6},\frac{1}{12},\frac{1}{20}$, .... is

• A. $\frac{1}{24}$
• B. $\frac{1}{22}$
• C. $\frac{1}{30}$
• D. $\frac{1}{18}$

Answer 1

Answer: (C)

$\frac{1}{30}$

Clearly,
$\frac{1}{2}=\frac{1}{1.2}$
$\frac{1}{6}=\frac{1}{2.3}$
$\frac{1}{12}=\frac{1}{3.4}$
$\frac{1}{20}=\frac{1}{4.5}$
in similar manner next term is
$\frac{1}{5.6}=\frac{1}{30}$
Hence, option C is correct.