<p>The definition begins by asserting the existence of some bound \(M\).</p>
<p>The bound is a real number, meaning \(M \in \mathbb{R}\).</p>
<p>So the definition begins &ldquo;there exists an \(M \in \mathbb{R}\)&hellip;&rdquo;</p>
<p>The bound must hold for all terms in the sequence.</p>
<p>So we will assert something for all indexes \(n \in \mathbb{N}\).</p>
<p>The definition begins &ldquo;there exists an \(M \in \mathbb{R}\), so that for all \(n \in \mathbb{N}\), &hellip;&rdquo;</p>
<p>For a particular 