Question

Complete the series by finding the missing term from the given alternatives.

$3,6,24,30,63,72,?,132$

• A. $42$
• B. $58$
• C. $90$
• D. $120$

Answer 1

The correct option is D $120$

Terms taken alternately form two sequences.
These are
$3,24,63$ $6,30,72,132$
$3=2^2-1$ $6=2^2+2$
$24=5^2-1$ $30=5^2+5$
$63=8^2-1$ $72=8^2+8$

$132={11}^2+11$
Next term for the first sequence is ${11}^2-1=120$.

Hence, the answer is $120$.