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Mathematics · 2022

JEE Main · 25 July 2022, Shift 2 · Q27

Let a_n=∫_-1^n(1+x/2+x^2/3+… ….+(x^n-1)/n) d x for every n ∈ N. Then the sum of all the elements of the set {n ∈ N: a_n ∈(2,30)} is \ \ \ \.

Let $\displaystyle a_n=\int_{-1}^n\left(1+\frac{x}{2}+\frac{x^2}{3}+\ldots \ldots .+\frac{x^{n-1}}{n}\right) d x$ for every $\displaystyle n \in \mathbb{N}$. Then the sum of all the elements of the set $\displaystyle \left\{n \in \mathbb{N}: a_n \in(2,30)\right\}$ is \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.