Question

Select the missing number in the following sequence
$3,6,24,30,63,72,?,?,195,210$

• A. $117,123$
• B. $120,132$
• C. $123,135$
• D. $135,144$

Answer 1

The correct option is B $120,132$

The given series $3,6,24,30,63,82,?,?,195,210$ follow a pattern :

$2^2-1=3$,

$3^2-3=6$,

$5^2-1=24$,

$6^2-6=30$,

$8^2-1=63$,

$9^2-9=72$,

${11}^2-1=120$,

${12}^2-12=132$,

${14}^2-1=195$,

${15}^2-15=210$.

Hence, the missing terms are $120$ and $132$.