If the coefficients of ${x}^{4},{x}^{5}$ and ${x}^{6}$ in the expansion of $(1+x{)}^{n}$ are in the arithmetic progression, then the maximum value of $n$ is:EndFragment [JEE Main 2024, 04 Apr (Shift 2)]

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If the coefficients of \({x}^{4},{x}^{5}\) and \({x}^{6}\) in the expansion of \((1+x{)}^{n}\) are in the arithmetic pro…

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