{"id":16892,"date":"2021-08-12T09:25:20","date_gmt":"2021-08-12T03:55:20","guid":{"rendered":"https:\/\/python-programs.com\/?p=16892"},"modified":"2021-11-22T18:38:31","modified_gmt":"2021-11-22T13:08:31","slug":"python-program-to-find-the-missing-term-of-any-arithmetic-progression","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/","title":{"rendered":"Python Program to Find the Missing Term of any Arithmetic Progression"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-strong-numbers-in-a-list\/\">Python Program to Find Strong Numbers in a List<\/a><br \/>\n<strong>Arithmetic progression:<\/strong><\/p>\n<p>An Arithmetic progression is a mathematical sequence of numbers in which the difference between the consecutive terms is constant.<\/p>\n<p>In general, an arithmetic sequence looks like this:\u00a0 a, a+d, a+2d, a+3d,&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>where a = first term<\/p>\n<p>d= common difference<\/p>\n<p><strong>Formula<\/strong> : d= second term &#8211; first term<\/p>\n<p>Given an Arithmetic series, and the task is to find the missing term in the given series.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Arithmetic Progression series = [10, 14, 18, 22, 30]<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The missing term in the given Arithmetic Progression series is:\r\n26<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Arithmetic Progression series = [100, 300, 400, 500, 600, 700]<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The missing term in the given Arithmetic Progression series is:\r\n200<\/pre>\n<h2>Program to Find the missing term of any Arithmetic progression<\/h2>\n<p>Below are the ways to find the missing term in the given Arithmetic progression series.<\/p>\n<ul>\n<li><a href=\"#Using_For_loop(Static_Input)\">Using For loop(Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop(User_Input)\">Using For loop(User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_loop(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:\u00a0<\/strong><\/p>\n<ul>\n<li>Give the list ( Arithmetic Progression series) as static input and store it in a variable.<\/li>\n<li>Calculate the length of the given series using the built-in len() function and store it in another variable.<\/li>\n<li>Calculate the common difference by finding the difference between the list&#8217;s last and first terms and divide by N and store it in another variable.<\/li>\n<li>Take a variable, initialize it with the first term of the given list and store it in another variable say &#8220;first term&#8221;.<\/li>\n<li>Loop from 1 to the length of the given list using for loop.<\/li>\n<li>Inside the loop, check if the difference between the list(iterator) and &#8220;first term&#8221; is not equal to the common difference using if conditional statement.<\/li>\n<li>If the statement is true, print the sum of &#8220;first term&#8221; and common difference<\/li>\n<li>Else update the value of variable &#8220;first term&#8221;\u00a0 by iterator 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\"># Give the list ( Arithmetic Progression series) as static input and store it in a variable.\r\ngvn_lst = [100, 200, 400, 500, 600, 700]\r\n# Calculate the length of the given series using the built-in len() function\r\n# and store it in another variable.\r\nlst_len = len(gvn_lst)\r\n# Calculate the common difference by finding the difference between the list's last and\r\n# first terms and divide by N and store it in another variable.\r\ncommn_diff = int((gvn_lst[lst_len-1]-gvn_lst[0])\/lst_len)\r\n# Take a variable, initialize it with the first term of the given list and store\r\n# it in another variable say \"first term\".\r\nfst_term = gvn_lst[0]\r\n# Loop from 1 to the length of the given list using for loop.\r\nprint(\"The missing term in the given Arithmetic Progression series is:\")\r\nfor itr in range(1, lst_len):\r\n # Inside the loop, check if the difference between the list(iterator) and \"first term\"\r\n    # is not equal to the common difference using if conditional statement.\r\n    if gvn_lst[itr]-fst_term != commn_diff:\r\n      # If the statement is true, print the sum of \"first term\" and common difference\r\n        print(fst_term+commn_diff)\r\n        break\r\n    else:\r\n       # Else update the value of variable \"first term\"\u00a0 by iterator value.\r\n        fst_term = gvn_lst[itr]\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The missing term in the given Arithmetic Progression series is:\r\n26<\/pre>\n<h3 id=\"Using_For_loop(User_Input)\">Method #2: Using For Loop (User Input)<\/h3>\n<p><strong>Approach:\u00a0<\/strong><\/p>\n<ul>\n<li>Give the list ( Arithmetic Progression series) as user input using list(),map(),input(),and split() functions and store it in a variable.<\/li>\n<li>Calculate the length of the given series using the built-in len() function and store it in another variable.<\/li>\n<li>Calculate the common difference by finding the difference between the list&#8217;s last and first terms and divide by N and store it in another variable.<\/li>\n<li>Take a variable, initialize it with the first term of the given list and store it in another variable say &#8220;first term&#8221;.<\/li>\n<li>Loop from 1 to the length of the given list using for loop.<\/li>\n<li>Inside the loop, check if the difference between the list(iterator) and &#8220;first term&#8221; is not equal to the common difference using if conditional statement.<\/li>\n<li>If the statement is true, print the sum of &#8220;first term&#8221; and common difference<\/li>\n<li>Else update the value of variable &#8220;first term&#8221;\u00a0 by iterator 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\">#Give the list ( Arithmetic Progression series) as user input using list(),map(),input(),and split() \r\n#functions and store it in a variable.\r\ngvn_lst = list(map(int, input( 'Enter some random List Elements separated by spaces = ').split()))\r\n# Calculate the length of the given series using the built-in len() function\r\n# and store it in another variable.\r\nlst_len = len(gvn_lst)\r\n# Calculate the common difference by finding the difference between the list's last and\r\n# first terms and divide by N and store it in another variable.\r\ncommn_diff = int((gvn_lst[lst_len-1]-gvn_lst[0])\/lst_len)\r\n# Take a variable, initialize it with the first term of the given list and store\r\n# it in another variable say \"first term\".\r\nfst_term = gvn_lst[0]\r\n# Loop from 1 to the length of the given list using for loop.\r\nprint(\"The missing term in the given Arithmetic Progression series is:\")\r\nfor itr in range(1, lst_len):\r\n # Inside the loop, check if the difference between the list(iterator) and \"first term\"\r\n    # is not equal to the common difference using if conditional statement.\r\n    if gvn_lst[itr]-fst_term != commn_diff:\r\n      # If the statement is true, print the sum of \"first term\" and common difference\r\n        print(fst_term+commn_diff)\r\n        break\r\n    else:\r\n       # Else update the value of variable \"first term\"\u00a0 by iterator value.\r\n        fst_term = gvn_lst[itr]\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random List Elements separated by spaces = 100 300 400 500 600 700\r\nThe missing term in the given Arithmetic Progression series is:\r\n200<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-vertex-focus-and-directrix-of-parabola\/\">Python Program to Find Vertex, Focus and Directrix of Parabola<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-euclidean-distance\/\">Python Program to Compute Euclidean Distance<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-volume-and-surface-area-of-sphere\/\">Python Program to Find Volume and Surface Area of Sphere<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-calculate-emi\/\">Python Program to Calculate EMI<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Find Strong Numbers in a List Arithmetic progression: An Arithmetic progression is a mathematical sequence of numbers in which the difference between the consecutive terms is constant. In general, an arithmetic sequence looks like this:\u00a0 a, a+d, a+2d, a+3d,&#8230;&#8230;&#8230;&#8230;&#8230;. where a = first term d= &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/\"> <span class=\"screen-reader-text\">Python Program to Find the Missing Term of any Arithmetic Progression<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":17034,"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":[6],"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 the Missing Term of any Arithmetic Progression - 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-the-missing-term-of-any-arithmetic-progression\/\" \/>\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 the Missing Term of any Arithmetic Progression - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Find Strong Numbers in a List Arithmetic progression: An Arithmetic progression is a mathematical sequence of numbers in which the difference between the consecutive terms is constant. 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In general, an arithmetic sequence looks like this:\u00a0 a, a+d, a+2d, a+3d,&#8230;&#8230;&#8230;&#8230;&#8230;. where a = first term d= &hellip; Python Program to Find the Missing Term of any Arithmetic Progression Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-08-12T03:55:20+00:00","article_modified_time":"2021-11-22T13:08:31+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-Find-the-Missing-Term-of-any-Arithmetic-Progression.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@btech_geeks","twitter_site":"@btech_geeks","twitter_misc":{"Written by":"Vikram Chiluka","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/python-programs.com\/#organization","name":"BTech Geeks","url":"https:\/\/python-programs.com\/","sameAs":["https:\/\/www.instagram.com\/btechgeeks\/","https:\/\/www.linkedin.com\/in\/btechgeeks","https:\/\/in.pinterest.com\/btechgeek\/","https:\/\/www.youtube.com\/channel\/UC9MlCqdJ3lKqz2p5114SDIg","https:\/\/www.facebook.com\/btechgeeks","https:\/\/twitter.com\/btech_geeks"],"logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2020\/11\/BTechGeeks.png","width":350,"height":70,"caption":"BTech Geeks"},"image":{"@id":"https:\/\/python-programs.com\/#\/schema\/logo\/image\/"}},{"@type":"WebSite","@id":"https:\/\/python-programs.com\/#website","url":"https:\/\/python-programs.com\/","name":"Python Programs","description":"Python Programs with Examples, How To Guides on Python","publisher":{"@id":"https:\/\/python-programs.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/python-programs.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/#primaryimage","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-Find-the-Missing-Term-of-any-Arithmetic-Progression.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/08\/Program-to-Find-the-Missing-Term-of-any-Arithmetic-Progression.png","width":1280,"height":720,"caption":"Program to Find the Missing Term of any Arithmetic Progression"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/#webpage","url":"https:\/\/python-programs.com\/python-program-to-find-the-missing-term-of-any-arithmetic-progression\/","name":"Python Program to Find the Missing Term of any Arithmetic Progression - 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