Number Series Ques 217

Question-

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

$8 \quad 5 \quad 9 \quad 22.5 \quad 61 \quad$ ?

(1) 184

(2) 181.5

(3) 192.5

(4) 177.5

(5) 172.5

Show Answer

Correct Answer: (4)

Solution: (4)

The pattern is :

$8 \times \frac{1}{2}+1^{2}=4+1=5$

$5 \times 1+2^{2}=5+4=9$

$9 \times \frac{3}{2}+3^{2}=13.5+9=22.5$

$22.5 \times 2+4^{2}=45+16=61$

$61 \times \frac{5}{2}+5^{2}=152.5+25$ $=177.5$