{"id":19482,"date":"2025-06-13T19:00:13","date_gmt":"2025-06-13T19:00:13","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=19482"},"modified":"2025-06-13T19:00:16","modified_gmt":"2025-06-13T19:00:16","slug":"create-a-pattern-with-the-rule-n-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/create-a-pattern-with-the-rule-n-4\/","title":{"rendered":"create a pattern with the rule n-4"},"content":{"rendered":"\n<p>create a pattern with the rule n-4<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pattern Rule: <strong>n &#8211; 4<\/strong><\/h3>\n\n\n\n<p>Let\u2019s create a pattern using the rule <strong>n &#8211; 4<\/strong>, where <strong>n<\/strong> represents each term in a sequence starting from a given number.<\/p>\n\n\n\n<p>Let\u2019s begin with the number <strong>50<\/strong> (you can start from any number), and apply the rule repeatedly:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First term: <strong>50<\/strong><\/li>\n\n\n\n<li>Second term: <strong>50 &#8211; 4 = 46<\/strong><\/li>\n\n\n\n<li>Third term: <strong>46 &#8211; 4 = 42<\/strong><\/li>\n\n\n\n<li>Fourth term: <strong>42 &#8211; 4 = 38<\/strong><\/li>\n\n\n\n<li>Fifth term: <strong>38 &#8211; 4 = 34<\/strong><\/li>\n\n\n\n<li>Sixth term: <strong>34 &#8211; 4 = 30<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Pattern:<\/h3>\n\n\n\n<p><strong>50, 46, 42, 38, 34, 30, &#8230;<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>In mathematics, a <strong>pattern<\/strong> is a sequence of numbers that follow a specific rule. In this case, the rule is <strong>n &#8211; 4<\/strong>, which means each number in the pattern is 4 less than the one before it. This type of pattern is known as an <strong>arithmetic sequence<\/strong>, where the difference between any two consecutive terms is constant. That constant difference here is <strong>-4<\/strong>.<\/p>\n\n\n\n<p>To generate the pattern, we start with an initial number, such as 50. Applying the rule repeatedly involves subtracting 4 from each term to get the next. So, from 50, subtracting 4 gives 46. From 46, subtracting 4 gives 42, and so on. Each step follows the same operation, ensuring consistency in the pattern.<\/p>\n\n\n\n<p>The general formula for the <strong>n-th term<\/strong> of an arithmetic sequence is:<br><strong>T\u2099 = a + (n &#8211; 1) \u00d7 d<\/strong>,<br>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>T\u2099<\/strong> is the n-th term,<\/li>\n\n\n\n<li><strong>a<\/strong> is the first term (in this case, 50),<\/li>\n\n\n\n<li><strong>d<\/strong> is the common difference (here, -4),<\/li>\n\n\n\n<li><strong>n<\/strong> is the position in the sequence.<\/li>\n<\/ul>\n\n\n\n<p>This allows you to find any term without having to list all the previous ones.<\/p>\n\n\n\n<p>Patterns like this are useful in many areas such as programming, budgeting, and planning schedules. Recognizing and applying rules like <strong>n &#8211; 4<\/strong> helps build logical thinking and problem-solving skills.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>create a pattern with the rule n-4 The correct answer and explanation is: Pattern Rule: n &#8211; 4 Let\u2019s create a pattern using the rule n &#8211; 4, where n represents each term in a sequence starting from a given number. Let\u2019s begin with the number 50 (you can start from any number), and apply [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-19482","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19482","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=19482"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19482\/revisions"}],"predecessor-version":[{"id":19483,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19482\/revisions\/19483"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19482"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}