For a R , |a|>1, let _ n ( 1+ [3] 2 + + [3] n n^ 7/3 ( 1 (an+1)^2 + 1 (an+2)^2 + + 1 (an+n)^2 ) )=54. Then the possible value(s) of a is/are

JEE Advanced 2019 Mathematics question

For , , let

()=54.

Then the possible value(s) of is/are

Answer: (A),(D)

Numerator . Denominator: $· ·

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Question ID VK-026957