Binomial Theorem
Grade 11
Question:
<p>What are the coefficients of the first and the last term of (a + b)<sup>n</sup>?</p>
<p style="display:inline">3</p>
<p style="display:inline">2</p>
<p style="display:inline">1</p>
<p style="display:inline">Coefficients depend on n</p>
Step-by-Step Solution
Key Concept: The coefficients of the first and last terms in the expansion of (a + b)^n are identical and defined by binomial combinations, provided that the terms a and b do not contain additional numerical factors.
<p>The coefficient of the first term and last term is same. The first term is nC<sub>1</sub> a<sup>n</sup> and the last term is nC<sub>0</sub> b<sup>n</sup> unless, a and b are numbers that change the value of the coefficient.</p>
Correct Answer: C