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{:(6,16,57,244,1245,7506),(4,(a),(b),(c)...

`{:(6,16,57,244,1245,7506),(4,(a),(b),(c),(d),(e)):}`
What will come in place of (d) ?

A

985

B

980

C

1004

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
The pattern of the given series is :
`6xx2+2^(2)=12+4=16`
`16xx3+3^(2)=48+9=57`
`57xx4+4^(2)=228+16=244`
Similarly,
(a) `rArr 4xx2+2^(2)=8+4=12`
`rArr 12xx3+3^(2)=36+9=45`
(c) `rArr 45xx4+4^(2)=180+16=196`
`rArr 196xx5+5^(2)=980+25=1005`
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