Number Series Ques 12

Question-

What will come in place of the question mark (?)

$18 \quad 18 \quad 24 \quad 48 \quad 108 \quad$ ?

(1) 254

(2) 228

(3) 212

(4) 176

(5) 194

Show Answer

Correct Answer: (2)

Solution: (2)

The pattern is:

$18+\left(1^{3}-1\right)=18+0=18$

$18+\left(2^{3}-2\right)=18+6=24$

$24+\left(3^{3}-3\right)=24+24=48$

$48+\left(4^{3}-4\right)=48+(64-4)=108$

$108+\left(5^{3}-5\right)=108+120$ $=228$