Question

Find out the missing number in the series given below :
$3,12,27,48,75,?$

• A. $96$
• B. $128$
• C. $111$
• D. $108$

Answer 1

The correct option is D $108$

Difference of a term and its previous term are $9,15,21,27$
We observe that the difference of a term and its previous term are in arithmetic progression with common difference $6.$
So, the next difference will be $27+6=33$
$\therefore$ The next term is $75+33=108$.