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JEE Advanced2025MathematicsBinomial TheoremActual

Let a₀, a₁, , a₂₃ be real numbers such that (1+ 2 5 x )²³= _ i=0 ²³ a_i x^i for every real number x . let a_r be the largest among the numbers a_j for 0 j 23 . The the value of r is ______

Correct answer

0

Step-by-step solution

For x =1 (1+ 2 5 )²³=a₀+a₁+a₂+ +a₂₃ for numerically greatest term n+1 1+ | a b | = 23+1 1+ 5 2 = 48 7 [ 48 7 ]=6= m (where [.] greatest integer function) so, T ₇ is numerical greatest term Hence r=6

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