Number Series Ques 202

Question-

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

$5 \quad 46 \quad 117 \quad 250 \quad 509 \quad ? \quad 2045$

(1) 829

(2) 1000

(3) 1022

(4) 922

(5) None of these

Show Answer

Correct Answer: (3)

Solution: (3)

The pattern is :

$5 \times 2+6^{2}=10+36=46$

$46 \times 2+5^{2}=92+25=117$

$117 \times 2+4^{2}=234+16=250$

$250 \times 2+3^{2}=500+9=509$

$509 \times 2+2^{2}=1018+4$ $=1022$

$1022 \times 2+1^{2}=2044+1=2045$