Let a_0, a_1, , a_ 23 be real numbers such that (1 + 2 5 x )^ 23 = _ i=0 ^ 23 a_ix^i for every real number x....

Question

Let a_0, a_1, , a_ 23 be real numbers such that (1 + 2 5 x )^ 23 = _ i=0 ^ 23 a_ix^i for every real number x. Let a_r be the largest among the numbers a_j for 0 ≤ j ≤ 23. Then the value of r is _____.

Accepted Answer

6

JEE Advanced 2025 Mathematics question

Solution

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