NVAMediumJEE Main 2023 · 13 April, Shift 2Sum of Series

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

Let f(x)=k=110kxkf(x) = \sum_{k=1}^{10} k\,x^k, xRx \in \mathbb{R}. If 2f(2)+f(2)=119(2)n+12f(2) + f'(2) = 119(2)^n + 1, then nn is equal to _____.

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