_ n ( n^2 (n^2+1)(n+1) + n^2 (n^2+4)(n+2) + n^2 (n^2+9)(n+3) + + n^2 (n^2+n^2)(n+n) ) is equal to

JEE Main 2022 Mathematics question

is equal to

Answer: (1)

The sum is 1/((1 + + r/n)) . Using partial fractions, 1/((1 + $ + x)) =

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Question ID VK-024226