NVAMediumJEE Main 2023 · 11 April, Shift 2Sum of Series

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

For kNk \in \mathbb{N}, if the sum of the series 1+4k+8k2+13k3+19k4+1 + \frac{4}{k} + \frac{8}{k^2} + \frac{13}{k^3} + \frac{19}{k^4} + \ldots is 1010, then the value of kk is _____.

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