If _ n ((n + 1)^ k−1 /n^ k+1 )[(nk + 1) + (nk + 2) + ... + (nk + n)] = 33 _ n (1/n^ k+1 )[1^k + 2^k + 3^k +...

Question

If _ n ((n + 1)^ k−1 /n^ k+1 )[(nk + 1) + (nk + 2) + ... + (nk + n)] = 33 _ n (1/n^ k+1 )[1^k + 2^k + 3^k + ... + n^k], then the integral value of k is equal to _____.

Accepted Answer

5

JEE Main 2022 Mathematics question

Solution

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