Author name: Umar Draz

<!-- wp:paragraph -->
<p><strong>A sequence is arithmetic if the </strong><strong>common difference</strong><strong> of all terms of a sequence is the same.</strong></p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p><strong>A sequence is </strong><strong>geometric</strong><strong> if the common ratio of all terms of sequence is the same.</strong></p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p><strong>A common difference is the difference between consecutive numbers in an arithmetic sequence</strong></p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>The arithmetic mean between any two numbers is simply the average of those two numbers.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>In this case, the two numbers are x - 3 and x + 3.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Therefore, the arithmetic mean between x - 3 and x + 3 is:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>(x - 3 + x + 3) / 2</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Simplifying the equation:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>2x / 2</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>This cancels out the 2s, leaving us with:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>x</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>So, the arithmetic mean between x - 3 and x + 3 is simply <strong>x</strong>.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>The arithmetic mean (A.M) between any two numbers a and b is (a+b)/2.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>If we want to find a single arithmetic mean between a and b, we can set up an equation such that:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>A.M = (a+b)/2</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>But since we are looking for a single A.M between a and b, we don’t know the exact value of the A.M. Therefore, we cannot solve for it using this equation.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>However, we can make an observation that any value between a and b will be an arithmetic mean between a and b. Therefore, we can say that there are infinitely many single arithmetic means between any two numbers a and b</p>
<!-- /wp:paragraph -->

<!-- wp:heading {"level":3} -->
<h3 class="wp-block-heading"><a href="https://mcqsplanet.com/2023/03/21/sum-of-4-a-m-between-18-and-3-is/#panel-1"><br>+</a></h3>
<!-- /wp:heading -->

<!-- wp:paragraph -->
<p>The arithmetic mean (A.M) between any two numbers a and b is (a+b)/2.</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>So, the arithmetic mean between 18 and 3 is:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>(18 + 3)/2 = 21/2 = 10.5</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>To find the sum of 4 arithmetic means between 18 and 3, we can use the formula:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Sum of n A.M = n x A.M</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Substituting the values, we get:</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Sum of 4 A.M = 4 x 10.5 = 42</p>
<!-- /wp:paragraph -->

<!-- wp:paragraph -->
<p>Therefore, the sum of 4 arithmetic means between 18 and 3 is 42.</p>
<!-- /wp:paragraph -->