Home Maths Binomial Theorem & Mathematical Induction JEE Main 2025 Let . If , then k is equal to _____.
Maths Binomial Theorem & Mathematical Induction JEE Main 2025 Numeric Response
Published on: August 13, 2026

Let . If , then k is equal to _____.

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Verified by Experts
The correct answer is:
239

(239)

Let
The sum of odd coefficients:

Subtracting from above will give the answer

Now for

Now use:

f(

Only the term with from the first sum (i.e., ) can contribute to , since all other gives

From : the term is
From : the coefficient of is

Hence,
Now,

So:

So:

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