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Mathematics · 2023

JEE Main · 24 January 2023, Shift 2 · Q82

Let the sum of the coefficients of the first three terms in the expansion of (x-3/x^2)^n, x ≠ 0. n ∈ N, be 376. Then the coefficient of x^4 is ____.

Let the sum of the coefficients of the first three terms in the expansion of $\displaystyle \left(x-\frac{3}{x^2}\right)^n, x \neq 0 . n \in \mathbb{N}$, be 376. Then the coefficient of $\displaystyle x^4$ is $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.