Question:
If the second term in the expansion
\[
\left( \frac{3}{\sqrt{4a + \sqrt{a}}} \right)^n
\]
\text{is} \( 14a^{5/2} \), then \( nC_3 \) is:
If the second term in the expansion
\[
\left( \frac{3}{\sqrt{4a + \sqrt{a}}} \right)^n
\]
\text{is} \( 14a^{5/2} \), then \( nC_3 \) is:
Show Hint
In binomial expansions, equate terms to solve for the required coefficient in the expansion.
Updated On: Jan 12, 2026
- 4
- 3
- 12
- 6
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The Correct Option is C
Solution and Explanation
Using the binomial expansion formula, we compare the terms and solve for \( nC_3 \). This gives us the value of \( nC_3 \) as 12.
Final Answer: \[ \boxed{12} \]
Final Answer: \[ \boxed{12} \]
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