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Mathematical Induction and Binomial Theorem question

2025 · Shift 2 · Q26

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JEE Advanced
Mathematics
Mathematical Induction and Binomial Theorem
2025 · Shift 2 · Q26

Mathematical Induction and Binomial Theorem question

2025 · Shift 2 · Q26

JEE AdvancedMathematicsMathematical Induction and Binomial TheoremNumerical+4 / −1

Let

a_0, a_1, \ldots, a_{23}

be real numbers such that

\left(1+\frac{2}{5} x\right)^{23}=\sum\limits_{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 \leq j \leq 23

. Then the value of

r

is

\underline{\hspace{2cm}}

.

Numerical answer

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