Question

Identify the pattern used in following numbers and write the next number.
$3,7,15,31$

• A. $60$
• B. $61$
• C. $62$
• D. $63$

Answer 1

Answer: (D)

$63$

$\Rightarrow$ Each number in the series is the preceding number multiplied by $2$ and then increased by $1$.

$\Rightarrow$ Thus, $(3\times 2)+1=7$,

$\Rightarrow$ $(7\times 2)+1=15,$

$\Rightarrow$ $(15\times 2)+1=31$

$\therefore$ Missing number $=(31\times 2)+1=63$