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Jee Main 2025 — Medium JEE math MCQ

For some $n \neq 10$, let the coefficients of the $5$th, $6$th and $7$th terms in the binomial expansion of $(1 + x)^{n+4}$ be in A.P. Then the largest coefficient in the expansion of $(1 + x)^{n+4}$ is
  1. A. $20$
  2. B. $10$
  3. C. $35$
  4. D. $70$

Solution

The correct option is **C**. (C. $35$)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
For some n≠10n \neq 10, let the coefficients of the 55th, 66th and 77th terms in the binomial expansion of (1+x)n+4(1 + x)^{n+4} be in A.P. Then the largest coefficient in the expansion of (1+x)n+4(1 + x)^{n+4} is
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