Binomial Theorem
General Term and Specific Term
Grade 11
Question:
<p>The value of <i>x</i> for which the 6th term in the expansion of <span class="math">\left(\frac{1}{4x} + \frac{1}{x^{2/3}} + 2\right)^n</span>, <i>n</i> ∈ ℕ, is 84, is</p>
<p>(a) 4</p>
<p>(b) 3</p>
<p>(c) 2</p>
<p>(d) 1</p>
Step-by-Step Solution
Key Concept: Apply the general term formula of binomial expansion and use the condition that the 6th term equals 84.
<p><strong>Solution:</strong> Use the binomial expansion general term to find the 6th term, set it equal to 84, and solve for <i>x</i>.</p>
Correct Answer: C