Number Series Ques 23

Question-

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

$1 \quad 2 \quad 12 \quad 63 \quad 316 \quad$ ?

(1) 1705

(2) 1066

(3) 1585

(4) 1224

(5) 584

Show Answer

Correct Answer: (1)

Solution: (1)

The pattern is :

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

$2 \times 2+2^{3}=4+8=12$

$12 \times 3+3^{3}=36+27=63$

$63 \times 4+4^{3}=252+64=316$

$316 \times 5+5^{3}=1580+125$ $=1705$