{"id":6835,"date":"2023-10-31T17:17:16","date_gmt":"2023-10-31T11:47:16","guid":{"rendered":"https:\/\/python-programs.com\/?p=6835"},"modified":"2023-11-10T12:09:55","modified_gmt":"2023-11-10T06:39:55","slug":"python-program-to-find-the-sum-of-natural-numbers","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-natural-numbers\/","title":{"rendered":"Python Program to Find the Sum of Natural Numbers"},"content":{"rendered":"<p><strong>Natural Number:<\/strong><\/p>\n<p>A natural number, as the name implies, is a number that occurs often and clearly in nature. It is a whole number with no negative digits.<\/p>\n<p>Some mathematicians agree that a natural number must contain 0 while others do not. As a result, a list of natural numbers can be described as follows<\/p>\n<pre>N= 1 , 2 , 3 , 4 , 5 etc.<\/pre>\n<p><strong>Prerequisite:<\/strong><\/p>\n<ol>\n<li><strong><a href=\"https:\/\/python-programs.com\/python-for-loop-explained-with-examples\/\">For Loop in python<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/python-programs.com\/python-while-loop-with-examples\/\">While Loop in python<\/a><\/strong><\/li>\n<\/ol>\n<p>Explore more instances related to python concepts from <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a> Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<h3><strong>Examples:<\/strong><\/h3>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input :<\/strong><\/p>\n<pre>number = 5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Sum of natural numbers till 5 = 15<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input :<\/strong><\/p>\n<pre>number = 43<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Sum of natural numbers till 43 = 946<\/pre>\n<h2>Program to Find the Sum of Natural Numbers in Python<\/h2>\n<p>Below are the ways to print the sum of natural numbers in python:<\/p>\n<ul>\n<li><a href=\"#Using_for_loop\">Using for loop<\/a><\/li>\n<li><a href=\"#Using_while_loop\">Using while loop<\/a><\/li>\n<li><a href=\"#Using_mathematical_formula\">Using mathematical formula<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_for_loop\">Method #1:Using for loop<\/h3>\n<ul>\n<li>Take a variable say <strong>sum<\/strong> and initialize to 0<\/li>\n<li>Iterate from 1 to N using for loop and range() function.<\/li>\n<li>For each iteration add the iterater value to <strong>sum<\/strong>.<\/li>\n<li>Print the <strong>sum<\/strong>.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumber = 5\r\n# Take a variable say sum and initialize to 0.\r\nsum = 0\r\n# Iterate from 1 to number using for loop and range function\r\nfor i in range(1, number+1):\r\n    # add the iterater value to sum.\r\n    sum = sum + i\r\n# print the sum\r\nprint(\"Sum of natural numbers till\", number, \"=\", sum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Sum of natural numbers till 5 = 15<\/pre>\n<h3 id=\"Using_while_loop\">Method #2:Using while loop<\/h3>\n<ul>\n<li>Take a variable say <strong>sum<\/strong> and initialize to 0<\/li>\n<li>The while loop was used to iterate until number became zero.<\/li>\n<li>In each loop iteration, we have added the number to <strong>sum<\/strong> and decreased the value of number by 1.<\/li>\n<li>Print the sum.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumber = 5\r\n# Take a variable say sum and initialize to 0.\r\nsum = 0\r\n# iterate till the number becomes 0 using while loop\r\nwhile(number != 0):\r\n    # add the number value to sum\r\n    sum = sum+number\r\n    # decrement the number\r\n    number = number-1\r\n# print the sum\r\nprint(\"Sum of natural numbers\", \"=\", sum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Sum of natural numbers = 15<\/pre>\n<h3 id=\"Using_mathematical_formula\">Method #3:Using mathematical formula<\/h3>\n<p>Instead of iterating till number the best and efficient solution is to use mathematical formula given below.<\/p>\n<p><strong>Formula:<\/strong><\/p>\n<pre>sum = ( n * (n +1) ) \/ 2<\/pre>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># given number\r\nnumber = 5\r\n# Using mathematical formula\r\nsum = (number * (number+1))\/\/2\r\n# print the sum\r\nprint(\"Sum of natural numbers till\", number, \"=\", sum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">Sum of natural numbers till 5 = 15<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-all-numbers-in-a-range-which-are-perfect-squares-and-sum-of-all-digits-in-the-number-is-less-than-10\/\">python program to find all numbers in a range which are perfect squares and sum of all digits in the number is less than 10<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-lcm-of-two-numbers\/\">python program to find the lcm of two numbers<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-sine-series\/\">python program to find the sum of sine series<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-cosine-series\/\">python program to find the sum of cosine series<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-cumulative-sum-of-a-list\/\">python program to find the cumulative sum of a list<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/\">python program to find the sum of the series 1 1 2 1 3 1 n<\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-x2-2-x3-3-xn-n\/\">python program to find the sum of the series 1 x2 2 x3 3 xn n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Natural Number: A natural number, as the name implies, is a number that occurs often and clearly in nature. It is a whole number with no negative digits. Some mathematicians agree that a natural number must contain 0 while others do not. As a result, a list of natural numbers can be described as follows &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-natural-numbers\/\"> <span class=\"screen-reader-text\">Python Program to Find the Sum of Natural Numbers<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":6844,"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 the Sum of Natural Numbers - 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-sum-of-natural-numbers\/\" \/>\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 Sum of Natural Numbers - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Natural Number: A natural number, as the name implies, is a number that occurs often and clearly in nature. 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