Number Series Ques 205

Question-

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

$13 \quad 14 \quad 32 \quad 105 \quad 436 \quad$ ?

(1) 2205

(2) 2105

(3) 2215

(4) 2405

(5) None of these

Show Answer

Correct Answer: (1)

Solution: (1)

The pattern is :

$13 \times 1+1^{2}=13+1=14$

$14 \times 2+2^{2}=28+4=32$

$32 \times 3+3^{2}=96+9=105$

$105 \times 4+4^{2}=420+16=436$

$436 \times 5+5^{2}=2180+25$ $=2205$