Question

Find the missing term in the following series.
$0,4,18,48,?,180$

• A. $100$
• B. $191$
• C. $152$
• D. $110$

Answer 1

The correct option is A $100$

$0,4,18,48,?,180$

or $0,(0+4),(4+14),(18+30)=?,180$

or $0,(0+4),\{4+(4+10\left)\right\},\{18+(4+10+16\left)\right\},?,180$

so required term $=48+(4+10+16+22)=100$

because we have noticed pattern of previous numbers

Now $180=100+(4+10+16+22+28)=180$

$\therefore$ Answer option (A)