Binomial Theorem
Grade 11
Question:
<p>If the sum of the coefficients in the expansion of <span class="math-tex">\(\left(\frac{1}{3}-15 x+15 x^{3}\right)^{2014}\)</span>(17x - 17x<sup>5</sup> + 3)<sup>2015</sup> is n, then the number of dissimilar terms in the expansion of (1 + x)<sup>n</sup> is:</p>
<p style="display:inline">2</p>
<p style="display:inline">4</p>
<p style="display:inline">1</p>
<p style="display:inline">3</p>
Step-by-Step Solution
Key Concept: The sum of coefficients $n$ is found by substituting $x=1$ into the given expression, and the number of dissimilar terms in $(1+x)^n$ is $n+1$.
<p>4</p>
Correct Answer: B