<h1 id="gauss-summation"><a aria-hidden="true" class="anchor-heading" href="#gauss-summation"><svg aria-hidden="true" viewBox="0 0 16 16"><use xlink:href="#svg-link"></use></svg></a>Gauss Summation</h1>
<h2 id="gauss-summation-1"><a aria-hidden="true" class="anchor-heading" href="#gauss-summation-1"><svg aria-hidden="true" viewBox="0 0 16 16"><use xlink:href="#svg-link"></use></svg></a>Gauss Summation</h2>
<p>Adding total number of pairs is done with the help of this formula:</p>
<p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>n</mi><mo stretchy="false">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy="false">)</mo><mi mathvariant="normal">/</mi><mn>2</mn></mrow><annotation encoding="application/x-tex">n(n+1)/2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal">n</span><span class="mopen">(</span><span class="mord mathnormal">n</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mclose">)</span><span class="mord">/2</span></span></span></span></span></p>

Gauss Summation


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