JEE Advanced 2025 Paper 2 Mathematics Q10

Mathematics

Problem

Let a₀, a₁, …, a₂₃ be real numbers such that (1 + (2/5)x)²³ = ∑[i=0 to 23] aᵢxⁱ for every real number x. Let aᵣ be the largest among the numbers aⱼ for 0 ≤ j ≤ 23. Then the value of r is _______________.

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