Number Series Ques 199

Question-

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

$5 \quad ? \quad 38 \quad 105 \quad 299 \quad 872 \quad 2580$

(1) 12

(2) 14

(3) 16

(4) 18

(5) 20

Show Answer

Correct Answer: (2)

Solution: (2)

The pattern is :

$5 \times 3-1^{2}=15-1=14$

$14 \times 3-2^{2}=42-4=38$

$38 \times 3-3^{2}=114-9=105$

$105 \times 3-4^{2}=315-16=299$

$299 \times 3-5^{2}=897-25=872$