Number Series Ques 141

Question-

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

2, 3, 10, 39, ?, 885

(1) 70

(2) 85

(3) 145

(4) 172

(5) 210

Show Answer

Correct Answer: (4)

Solution: (4)

The pattern is :

$2 \times 1+1^{2}=2+1=3$

$3 \times 2+2^{2}=6+4=10$

$10 \times 3+3^{2}=30+9=39$

$39 \times 4+4^{2}=156+16=172$

$172 \times 5+5^{2}=860+25=885$