{"id":12413,"date":"2021-09-30T11:30:45","date_gmt":"2021-09-30T06:00:45","guid":{"rendered":"https:\/\/python-programs.com\/?p=12413"},"modified":"2021-11-22T18:35:28","modified_gmt":"2021-11-22T13:05:28","slug":"python-program-to-check-whether-given-array-or-list-can-form-arithmetic-progression","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-check-whether-given-array-or-list-can-form-arithmetic-progression\/","title":{"rendered":"Python Program to Check Whether given Array or List Can Form Arithmetic Progression"},"content":{"rendered":"<p>Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Java Program Examples with Output<\/a><\/p>\n<p><strong>Arithmetic Progression:<\/strong><\/p>\n<p>Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. For instance, the natural number sequence: 1, 2, 3, 4, 5, 6,&#8230; is an AP with a common difference between two successive terms (say, 1 and 2) equal to 1. (2 -1). Even when dealing with odd and even numbers, we can observe that the common difference between two sequential terms is equal to 2.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given List = [9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69]<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given list [9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69] is in AP<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given List = [3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105]<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The given list [3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105] is in AP<\/pre>\n<h2>Python Program to Check Whether given Array or List Can Form Arithmetic Progression<\/h2>\n<p>Below are the ways to Check Whether the given array or list can form the 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:<\/strong><\/p>\n<ul>\n<li>Give the list as static input and store it in a variable.<\/li>\n<li>Create a function checkAp() which returns true if the given list is in Arithmetic Progression Else it returns False.<\/li>\n<li>Pass the given list as an argument to the checkAp() function.<\/li>\n<li>Calculate the length of the given list using the length() function.<\/li>\n<li>Inside the Function sort the given list using the built-in sort() function.<\/li>\n<li>Now compute the difference between the first two elements of the given list and initialize a new variable commondif with this difference.<\/li>\n<li>Traverse the array in reverse order i.e from n-1 to 1 index using For loop.<\/li>\n<li>Compare the difference between successive elements.<\/li>\n<li>If the difference is not equal to commondif then return False.<\/li>\n<li>After the end of For loop return True (This signifies that the given list is in Ap)<\/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 checkAp() which returns true if the given list\r\n# is in Arithmetic Progression Else it returns False.\r\n\r\n\r\ndef checkAp(gvnlst):\r\n  # Calculate the length of the given list using the length() function.\r\n    lstlen = len(gvnlst)\r\n    # Inside the Function sort the given list using the built-in sort() function.\r\n    gvnlst.sort()\r\n    # Now compute the difference between the first two elements of the given list and\r\n    # initialize a new variable commondif with this difference.\r\n    commondif = gvnlst[1]-gvnlst[0]\r\n    # Traverse the array in reverse order i.e from n-1 to 1 index using For loop.\r\n    for m in range(lstlen-1, 1, -1):\r\n      # Compare the difference between successive elements.\r\n\r\n        if(gvnlst[m]-gvnlst[m-1] != commondif):\r\n          # If the difference is not equal to commondif then return False.\r\n            return 0\r\n    # After the end of For loop return True (This signifies that the given list is in Ap)\r\n    return 1\r\n\r\n\r\n# Give the list as static input and store it in a variable.\r\ngivenlist = [9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69]\r\n# Pass the given list as an argument to the checkAp() function.\r\nif(checkAp(givenlist)):\r\n    print('The given list', givenlist, 'is in AP')\r\nelse:\r\n    print('The given list', givenlist, 'is not in AP')\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given list [9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69] is in AP<\/pre>\n<h3 id=\"Using_For_loop(User_Input)\">Method #2: Using For Loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the list as user input using list(),map(),input(),and split() functions.<\/li>\n<li>Store it in a variable.<\/li>\n<li>Create a function checkAp() which returns true if the given list is in Arithmetic Progression Else it returns False.<\/li>\n<li>Pass the given list as an argument to the checkAp() function.<\/li>\n<li>Calculate the length of the given list using the length() function.<\/li>\n<li>Inside the Function sort the given list using the built-in sort() function.<\/li>\n<li>Now compute the difference between the first two elements of the given list and initialize a new variable commondif with this difference.<\/li>\n<li>Traverse the array in reverse order i.e from n-1 to 1 index using For loop.<\/li>\n<li>Compare the difference between successive elements.<\/li>\n<li>If the difference is not equal to commondif then return False.<\/li>\n<li>After the end of For loop return True (This signifies that the given list is in Ap)<\/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 checkAp() which returns true if the given list\r\n# is in Arithmetic Progression Else it returns False.\r\n\r\n\r\ndef checkAp(gvnlst):\r\n  # Calculate the length of the given list using the length() function.\r\n    lstlen = len(gvnlst)\r\n    # Inside the Function sort the given list using the built-in sort() function.\r\n    gvnlst.sort()\r\n    # Now compute the difference between the first two elements of the given list and\r\n    # initialize a new variable commondif with this difference.\r\n    commondif = gvnlst[1]-gvnlst[0]\r\n    # Traverse the array in reverse order i.e from n-1 to 1 index using For loop.\r\n    for m in range(lstlen-1, 1, -1):\r\n      # Compare the difference between successive elements.\r\n\r\n        if(gvnlst[m]-gvnlst[m-1] != commondif):\r\n          # If the difference is not equal to commondif then return False.\r\n            return 0\r\n    # After the end of For loop return True (This signifies that the given list is in Ap)\r\n    return 1\r\n\r\n\r\n# Give the list as user input using list(),map(),input(),and split() functions.\r\n# store it in a variable.\r\ngivenlist = list(\r\n    map(int, input('Enter some random List Elements separated by spaces = ').split()))\r\n# Pass the given list as an argument to the checkAp() function.\r\nif(checkAp(givenlist)):\r\n    print('The given list', givenlist, 'is in AP')\r\nelse:\r\n    print('The given list', givenlist, 'is not in AP')\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random List Elements separated by spaces = 3 9 15 21 27 33 39 45 51 57 63 69 75 81 87 93 99 105\r\nThe given list [3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99, 105] is in AP<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-strong-number-or-not\/\">python program to check whether the given number is strong number or not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-number-is-perfect-number-or-not\/\">python program to check whether the given number is perfect number or not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-the-given-two-numbers-are-amicable-numbers-or-not\/\">python program to check whether the given two numbers are amicable numbers or not<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-a-fixed-point-in-a-given-array-or-list\/\">python program to find a fixed point in a given array or list<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-remove-the-ith-occurrence-of-the-given-word-in-a-list-where-words-can-repeat\/\">python program to remove the ith occurrence of the given word in a list where words can repeat<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-determine-whether-a-given-number-is-even-or-odd-recursively\/\">python program to determine whether a given number is even or odd recursively<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-whether-a-string-is-a-palindrome-or-not-using-recursion\/\">python program to check whether a string is a palindrome or not using recursion<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. For instance, the natural number sequence: 1, 2, 3, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-check-whether-given-array-or-list-can-form-arithmetic-progression\/\"> <span class=\"screen-reader-text\">Python Program to Check Whether given Array or List Can Form Arithmetic Progression<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":12416,"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 Check Whether given Array or List Can Form 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-check-whether-given-array-or-list-can-form-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 Check Whether given Array or List Can Form Arithmetic Progression - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Grab the opportunity to learn all effective java programming language concepts from basic to advance levels by practicing these Java Program Examples with Output Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. 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