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Mathematics · 2023

JEE Main · 8 April 2023, Shift 1 · Q23

If a_α is the greatest term in the sequence a_n=n^3/(n^4+147), n=1,2,3, …, then α is equal to ____.

If $\displaystyle a_\alpha$ is the greatest term in the sequence $\displaystyle a_n=\frac{n^3}{n^4+147}, n=1,2,3, \ldots$, then $\displaystyle \alpha$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.