{"id":22662,"date":"2021-09-27T08:36:54","date_gmt":"2021-09-27T03:06:54","guid":{"rendered":"https:\/\/python-programs.com\/?p=22662"},"modified":"2021-11-22T18:35:38","modified_gmt":"2021-11-22T13:05:38","slug":"python-program-to-find-nth-pentagonal-number","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-nth-pentagonal-number\/","title":{"rendered":"Python Program to Find N\u2019th Pentagonal Number"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-check-if-three-points-are-collinear\/\">Python Program to Check if Three Points are Collinear<\/a><br \/>\nGiven a number N the task is to find the Nth Pentagonal Number in Python.<\/p>\n<p><strong>Nth Pentagonal Number:<\/strong><\/p>\n<p>n is the nth pentagonal number. When the pentagons are overlapped so that they share one vertex, Pn is the number of different dots in a pattern of dots consisting of the outlines of regular pentagons with sides up to n dots.<\/p>\n<p>A polygonal number (triangular number, square number, and so on) is a number that is represented as dots or pebbles ordered in the shape of a regular polygon. The first few pentagonal numbers are as follows: 1, 5, 12, and so on.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 4<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The { 4 } pentagonal number =  22<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The { 6 } pentagonal number = 51<\/pre>\n<h2>Program to Find N\u2019th Pentagonal Number in Python<\/h2>\n<p>Below are the ways to find the Nth Pentagonal Number in Python:<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<blockquote><p>Nth Pentagonal Number Formula = <strong>3*n*(n-1)\/2 + n\u00a0 \u00a0 \u00a0(or)\u00a0 (3*n*n &#8211; n)\/2<\/strong><\/p><\/blockquote>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as static Input and store it in a variable.<\/li>\n<li>Create a function <strong>nthPentagonalNumb()<\/strong> which accepts the given number as an argument and returns the nth pentagonal number.<\/li>\n<li>Inside the <strong>nthPentagonalNumb()\u00a0<\/strong>function.<\/li>\n<li>Calculate the value of (3*n*n &#8211; n)\/2 where n is the argument and store it in a variable say <strong>reslt<\/strong>.<\/li>\n<li>Return the <strong>reslt.<\/strong><\/li>\n<li>Pass the given Number as an argument to <strong>nthPentagonalNumb()\u00a0<\/strong>function and store the result returned from the function in a variable say <strong>nthNumb<\/strong>.<\/li>\n<li>Print the <strong>nthNumb\u00a0<\/strong>value.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function nthPentagonalNumb() which accepts the given number\r\n# as an argument and returns the nth pentagonal number.\r\n\r\n\r\ndef nthPentagonalNumb(numb):\r\n        # Inside the nthPentagonalNumb()\u00a0function.\r\n        # Calculate the value of (3*n*n - n)\/2 where n is the argument and\r\n    # store it in a variable say reslt.\r\n    reslt = (3*numb*numb - numb)\/2\r\n    # Return the reslt.\r\n    return int(reslt)\r\n\r\n\r\n# Give the number N as static Input and store it in a variable.\r\ngvnnumb = 4\r\n# Pass the given Number as an argument to nthPentagonalNumb()\u00a0\r\n# function and store the result returned from the function in a variable say nthNumb.\r\nnthNumb = nthPentagonalNumb(gvnnumb)\r\n# Print the nthNumb\u00a0value.\r\nprint('The {', gvnnumb, '} pentagonal number = ', nthNumb)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The { 4 } pentagonal number =  22<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as user Input using the int(input()) function and store it in a variable.<\/li>\n<li>Create a function <strong>nthPentagonalNumb()<\/strong> which accepts the given number as an argument and returns the nth pentagonal number.<\/li>\n<li>Inside the <strong>nthPentagonalNumb()\u00a0<\/strong>function.<\/li>\n<li>Calculate the value of (3*n*n &#8211; n)\/2 where n is the argument and store it in a variable say <strong>reslt<\/strong>.<\/li>\n<li>Return the <strong>reslt.<\/strong><\/li>\n<li>Pass the given Number as an argument to <strong>nthPentagonalNumb()\u00a0<\/strong>function and store the result returned from the function in a variable say <strong>nthNumb<\/strong>.<\/li>\n<li>Print the <strong>nthNumb\u00a0<\/strong>value.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function nthPentagonalNumb() which accepts the given number\r\n# as an argument and returns the nth pentagonal number.\r\n\r\n\r\ndef nthPentagonalNumb(numb):\r\n        # Inside the nthPentagonalNumb()\u00a0function.\r\n        # Calculate the value of (3*n*n - n)\/2 where n is the argument and\r\n    # store it in a variable say reslt.\r\n    reslt = (3*numb*numb - numb)\/2\r\n    # Return the reslt.\r\n    return int(reslt)\r\n\r\n\r\n# Give the number N as user Input using the int(input()) function\r\n# and store it in a variable.\r\ngvnnumb = int(input('Enter some random Number = '))\r\n# Pass the given Number as an argument to nthPentagonalNumb()\u00a0\r\n# function and store the result returned from the function in a variable say nthNumb.\r\nnthNumb = nthPentagonalNumb(gvnnumb)\r\n# Print the nthNumb\u00a0value.\r\nprint('The {', gvnnumb, '} pentagonal number = ', nthNumb)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random Number = 6\r\nThe { 6 } pentagonal number = 51<\/pre>\n<p>Dive into numerous <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Language Examples<\/a> for practice and get the best out of the tutorial and learn python one step at a time.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-line-passing-through-2-points\/\">Python Program to Find Line Passing Through 2 Points<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-mid-point-of-a-line\/\">Python Program to Find the Mid-Point of a Line<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-section-formula-point-that-divides-a-line-in-given-ratio\/\">Python Program for Section Formula (Point that Divides a Line in Given Ratio)<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-slope-of-a-line\/\">Python Program to Find Slope of a Line<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Check if Three Points are Collinear Given a number N the task is to find the Nth Pentagonal Number in Python. Nth Pentagonal Number: n is the nth pentagonal number. When the pentagons are overlapped so that they share one vertex, Pn is the number &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-nth-pentagonal-number\/\"> <span class=\"screen-reader-text\">Python Program to Find N\u2019th Pentagonal Number<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":22673,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Find N\u2019th Pentagonal Number - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-find-nth-pentagonal-number\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find N\u2019th Pentagonal Number - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Check if Three Points are Collinear Given a number N the task is to find the Nth Pentagonal Number in Python. 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