Binomial Theorem
Grade 11
Question:
<p>For <span class="math-tex">\(\forall\)</span>n <span class="math-tex">\(\in\)</span> N, 2<sup>3n+3</sup> - 8 is divisible by:</p>
<p style="display:inline">343</p>
<p style="display:inline">2401</p>
<p style="display:inline">49</p>
<p style="display:inline">7</p>
Step-by-Step Solution
Key Concept: Use the binomial theorem to expand terms of the form (1+x)^n to isolate and identify the required divisible factor.
<p>49</p>
Correct Answer: C