{"id":8247,"date":"2021-06-07T18:08:44","date_gmt":"2021-06-07T12:38:44","guid":{"rendered":"https:\/\/python-programs.com\/?p=8247"},"modified":"2021-11-22T18:38:38","modified_gmt":"2021-11-22T13:08:38","slug":"python-program-to-print-the-natural-numbers-summation-pattern","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-print-the-natural-numbers-summation-pattern\/","title":{"rendered":"Python Program to Print the Natural Numbers Summation Pattern"},"content":{"rendered":"<p><strong>Natural Numbers:<\/strong><\/p>\n<p>Natural numbers are a subset of the number system that includes all positive integers from one to infinity. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are a subset of real numbers that include only positive integers and exclude zero, fractions, decimals, and negative numbers.<\/p>\n<p>Given a number the task is to print the natural numbers summation Pattern<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 7<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">1 = 1\r\n1 + 2 = 3\r\n1 + 2 + 3 = 6\r\n1 + 2 + 3 + 4 = 10\r\n1 + 2 + 3 + 4 + 5 = 15\r\n1 + 2 + 3 + 4 + 5 + 6 = 21\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 = 28<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number = 9<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">1 = 1\r\n1 + 2 = 3\r\n1 + 2 + 3 = 6\r\n1 + 2 + 3 + 4 = 10\r\n1 + 2 + 3 + 4 + 5 = 15\r\n1 + 2 + 3 + 4 + 5 + 6 = 21\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 = 28\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45<\/pre>\n<h2>Program to Print the Natural Numbers Summation Pattern in Python<\/h2>\n<p>There are several ways to print the natural numbers summation pattern in Python some of them are:<\/p>\n<ul>\n<li><a href=\"#Using_nested_for_loops_(Static_Input)\">Using nested for loops (Static Input)<\/a><\/li>\n<li><a href=\"#Using_nested_for_loops_and_mathematical_formula_(Static_input)\">Using nested for loops and mathematical formula (Static input)<\/a><\/li>\n<li><a href=\"#Using_nested_for_loops_and_mathematical_formula_(User_input)\">Using nested for loops and mathematical formula (User input)<\/a><\/li>\n<\/ul>\n<p>Drive into <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a> and explore more instances related to python concepts so that you can become proficient in generating programs in Python Programming Language.<\/p>\n<h3 id=\"Using_nested_for_loops_(Static_Input)\">Method #1: Using nested for loops (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Take the value of the given number as static\u00a0 and store it in a variable numb.<\/li>\n<li>Use two for loops where the value of i is between 1 and numb and the value of j is between 1 and i<\/li>\n<li>Take a empty list<\/li>\n<li>Add values of i to the list using append() function.<\/li>\n<li>While adding the value of j to a list, print the value of j and the \u2018+&#8217; operator.<\/li>\n<li>Then compute the sum of the elements in the list using sum() function<\/li>\n<li>Print the symbol \u2018=&#8217; followed by the total sum calculated in the above step.<\/li>\n<li>End of program<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumb = 15\r\n# traversing from 1 to numb using for loop\r\nfor i in range(1, numb+1):\r\n  # taking a empty list\r\n    emptylist = []\r\n    # traversing from 1 to i\r\n    for j in range(1, i+1):\r\n      # printing the value of j\r\n        print(j, sep=\" \", end=\" \")\r\n        if(j &lt; i):\r\n            print(\"+\", sep=\" \", end=\" \")\r\n        # appending\/adding the value to the empty list\r\n        emptylist.append(j)\r\n    # printing the sum of emptylist\r\n    print(\"=\", sum(emptylist))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">1 = 1\r\n1 + 2 = 3\r\n1 + 2 + 3 = 6\r\n1 + 2 + 3 + 4 = 10\r\n1 + 2 + 3 + 4 + 5 = 15\r\n1 + 2 + 3 + 4 + 5 + 6 = 21\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 = 28\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 = 66\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 = 91\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 = 105\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 = 120<\/pre>\n<p><strong>Explanation:<\/strong><\/p>\n<ul>\n<li>Consider the provided number&#8217;s value to be static<\/li>\n<li>This number is iterated again and over.<\/li>\n<li>An empty list has been defined.<\/li>\n<li>A new \u2018for&#8217; loop is started.<\/li>\n<li>The separator is set to \u2018&#8217;.<\/li>\n<li>The \u2018+&#8217; symbol is used if the value of the inner iterator is smaller than the value of the outer iterator.<\/li>\n<li>These values are added to the existing empty list.<\/li>\n<li>Their total is computed and shown as the output.<\/li>\n<\/ul>\n<h3 id=\"Using_nested_for_loops_and_mathematical_formula_(Static_input)\">Method #2: Using nested for loops and mathematical formula (Static input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Take the value of the given number as static and store it in a variable numb.<\/li>\n<li>Use two for loops where the value of i is between 1 and numb and the value of j is between 1 and i<\/li>\n<li>print the value of j and the \u2018+&#8217; operator.<\/li>\n<li>Then compute the sum of the element i using mathematic formula for sum of n natural numbers<\/li>\n<li>Print the symbol \u2018=&#8217; followed by the total sum calculated in the above step.<\/li>\n<li>End of program<\/li>\n<\/ul>\n<blockquote><p>Mathematical formula for sum of n natural numbers\u00a0 :<\/p>\n<p><strong>( numb * (numb+1) ) \/2<\/strong><\/p><\/blockquote>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumb = 9\r\n# traversing from 1 to numb using for loop\r\nfor i in range(1, numb+1):\r\n    # traversing from 1 to i\r\n    for j in range(1, i+1):\r\n      # printing the value of j\r\n        print(j, sep=\" \", end=\" \")\r\n        if(j &lt; i):\r\n            print(\"+\", sep=\" \", end=\" \")\r\n    # calculating sum of the n natural numbers using mathematical formula\r\n    naturalSum = (i*(i+1))\/\/2\r\n    # printing the total sum\r\n    print(\"=\", naturalSum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">1 = 1\r\n1 + 2 = 3\r\n1 + 2 + 3 = 6\r\n1 + 2 + 3 + 4 = 10\r\n1 + 2 + 3 + 4 + 5 = 15\r\n1 + 2 + 3 + 4 + 5 + 6 = 21\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 = 28\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45<\/pre>\n<h3 id=\"Using_nested_for_loops_and_mathematical_formula_(User_input)\">Method #3: Using nested for loops and mathematical formula (User input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the input from user using input() function and store it in a variable numb<\/li>\n<li>Convert this numb to integer using numb function<\/li>\n<li>Use two for loops where the value of i is between 1 and numb and the value of j is between 1 and i<\/li>\n<li>print the value of j and the \u2018+&#8217; operator.<\/li>\n<li>Then compute the sum of the element i using mathematic formula for sum of n natural numbers<\/li>\n<li>Print the symbol \u2018=&#8217; followed by the total sum calculated in the above step.<\/li>\n<li>End of program<\/li>\n<\/ul>\n<blockquote><p>Mathematical formula for sum of n natural numbers\u00a0 = <strong>( numb * (numb+1) ) \/2<\/strong><\/p><\/blockquote>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumb = input(\"Enter your desired number = \")\r\n# conveerting numb to integer using int() function\r\nnumb = int(numb)\r\n# traversing from 1 to numb using for loop\r\nfor i in range(1, numb+1):\r\n    # traversing from 1 to i\r\n    for j in range(1, i+1):\r\n      # printing the value of j\r\n        print(j, sep=\" \", end=\" \")\r\n        if(j &lt; i):\r\n            print(\"+\", sep=\" \", end=\" \")\r\n    # calculating sum of the n natural numbers using mathematical formula\r\n    naturalSum = (i*(i+1))\/\/2\r\n    # printing the total sum\r\n    print(\"=\", naturalSum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter your desired number = 9\r\n1 = 1\r\n1 + 2 = 3\r\n1 + 2 + 3 = 6\r\n1 + 2 + 3 + 4 = 10\r\n1 + 2 + 3 + 4 + 5 = 15\r\n1 + 2 + 3 + 4 + 5 + 6 = 21\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 = 28\r\n1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36\r\n1 +2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-without-newline\/\">Python Program to Print Output Without a Newline<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-accept-three-digits-and-print-all-possible-combinations-from-the-digits\/\">Python Program to Accept Three Digits and Print all Possible Combinations from the Digits<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-binary-representation-of-a-number\/\">Python Program to Print Binary Representation of a Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-if-a-date-is-valid-and-print-the-incremented-date\/\">Python Program to Check if a Date is Valid and Print the Incremented Date<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Natural Numbers: Natural numbers are a subset of the number system that includes all positive integers from one to infinity. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are a subset of real numbers that include only positive integers and exclude zero, fractions, decimals, and negative &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-print-the-natural-numbers-summation-pattern\/\"> <span class=\"screen-reader-text\">Python Program to Print the Natural Numbers Summation Pattern<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":8258,"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 Print the Natural Numbers Summation Pattern - 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-print-the-natural-numbers-summation-pattern\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Print the Natural Numbers Summation Pattern - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Natural Numbers: Natural numbers are a subset of the number system that includes all positive integers from one to infinity. 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Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. 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