<p>The coefficient of \(x^3\) in \( (1 + 2x)^n\) is \(4480\).</p>
<ol class="abc-list"><li data-list-item-id="item-1782888159988-vhj8klde0" data-list-item-path="item-1782888159988-vhj8klde0"><div class="list-item-paragraph">Find \(n\).</div></li><li data-list-item-id="item-1782888161172-jfjnlgaw4" data-list-item-path="item-1782888161172-jfjnlgaw4"><div class="list-item-paragraph">Show that there is only one possible value.<br><em>Hint: This requires solving \( \binom{n}{3} 2^3 = 4480\)</em></div></li></ol>

The coefficient of \(x^3\) in \( (1 + 2x)^n\) is \(4480\).

Show that there is only one possible value.
*Hint: This requires solving \( \binom{n}{3} 2^3 = 4480\)*

Binomial Theorem

Binomial Theorem