JEE Mains · Maths · STD 11 - 7. binomial theoram
If the coefficients of \(x^4, x^5\) and \(x^6\) in the expansion of \((1+x)^n\) are in the arithmetic progression, then the maximum value of \(n\) is :
- A \(14\)
- B \(21\)
- C \(28\)
- D \(7\)
Answer & Solution
Correct Answer
(A) \(14\)
Step-by-step Solution
Detailed explanation
\( \text { Coeff. of } x^4={ }^n C_4 \) \( \text { Coeff. of } x^5={ }^n C_5 \) \( \text { Coeff. of } x^6={ }^n C_6 \) \( { }^n C_4,{ }^n C_5,{ }^n C_6 \ldots . A P \) \( 2 . C_5={ }^n C_4+{ }^n C_6 \)…
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