{"id":9229,"date":"2021-10-01T11:00:55","date_gmt":"2021-10-01T05:30:55","guid":{"rendered":"https:\/\/python-programs.com\/?p=9229"},"modified":"2021-11-22T18:33:26","modified_gmt":"2021-11-22T13:03:26","slug":"python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/","title":{"rendered":"Python Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N"},"content":{"rendered":"<p>Given a number , the task is to find the sum of series <strong>1 + 1 \/ 2 + &#8230;&#8230; + 1 \/number<\/strong> in Python.<\/p>\n<p>The inverse of a series is considered to be in Harmonic Progression if it follows the rule of an A.P, i.e. Arithmetic Progression. In general, the terms in a harmonic progression can be written as 1\/a, 1\/(a + d), 1\/(a + 2d), 1\/(a + 3d),&#8230;. 1\/(a + nd).<br \/>\nAs the Nth term of AP is (a + (n \u2013 1)d).<br \/>\nAs a result, the Nth term of harmonic progression is the reciprocal of the Nth term of AP, which is: 1\/(a + (n \u2013 1)d), where &#8220;a&#8221; is the first term of AP and &#8220;d&#8221; is the common difference.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>total number of terms = 17<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of the series  3.44<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Enter the total numbers of terms =26<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The total sum of the series 3.85<\/pre>\n<h2>Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N in Python<\/h2>\n<p>There are several ways to find the sum of the given series some of them are:<\/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<li><a href=\"#Using_while_loop_(User_input)\">Using while loop (User input)<\/a><\/li>\n<li><a href=\"#Using_While_loop(_Static_Input)\">Using While loop( Static Input)<\/a><\/li>\n<\/ul>\n<p>The best and excellent way to learn a java programming language is by practicing <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Simple Java Program Examples<\/a> as it includes basic to advanced levels of concepts.<\/p>\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 number of terms as static input.<\/li>\n<li>Set a <strong>totalsum<\/strong> variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Find the total of the series using a for loop ranging from 1 to the number.<\/li>\n<li>Print the <strong>totalsum<\/strong> of the series, rounded to two decimal places.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number of terms as static input.\r\nnumb = 17\r\n# Set a totalsum variable which calculates the total sum and initialize it to 0.\r\ntotalsum = 0\r\n# Find the total of the series using a for loop ranging from 1 to the number.\r\nfor value in range(1, numb+1):\r\n  # calculating the total sum\r\n    totalsum = totalsum+(1\/value)\r\n# Print the totalsum of the series, rounded to two decimal places.\r\nprint(\"The total sum of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of the series  3.44<\/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>Scan the total number of terms as user input by using <strong>int(input())<\/strong> function.<\/li>\n<li>Set a <strong>totalsum<\/strong> variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Find the total of the series using a for loop ranging from 1 to the number.<\/li>\n<li>Print the <strong>totalsum<\/strong> of the series, rounded to two decimal places.<\/li>\n<li>Exit of program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Scan\u00a0the\u00a0total\u00a0number\u00a0of\u00a0terms\u00a0as\u00a0user\u00a0input\u00a0by\u00a0using\u00a0int(input())\u00a0function.\r\nnumb = int(input(\"Enter the total numbers of terms =\"))\r\n# Set a totalsum variable which calculates the total sum and initialize it to 0.\r\ntotalsum = 0\r\n# Find the total of the series using a for loop ranging from 1 to the number.\r\nfor value in range(1, numb+1):\r\n  # calculating the total sum\r\n    totalsum = totalsum+(1\/value)\r\n# Print the totalsum of the series, rounded to two decimal places.\r\nprint(\"The total sum of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter the total numbers of terms =26\r\nThe total sum of the series 3.85<\/pre>\n<h3 id=\"Using_while_loop_(User_input)\">Method #3:Using while loop (User input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Scan the total number of terms as user input by using <strong>int(input())<\/strong> function.<\/li>\n<li>Set a <strong>totalsum<\/strong> variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Take a variable say value and initialize it to 1.<\/li>\n<li>Using while loop calculate the total sum till value greater than given number<\/li>\n<li>Calculate the totalsum by incrementing it value with 1\/value.<\/li>\n<li>Increment the value by 1.<\/li>\n<li>Print the <strong>totalsum<\/strong> of the series, rounded to two decimal places.<\/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\"># Scan\u00a0the\u00a0total\u00a0number\u00a0of\u00a0terms\u00a0as\u00a0user\u00a0input\u00a0by\u00a0using\u00a0int(input())\u00a0function.\r\nnumb = int(input(\"Enter the total numbers of terms =\"))\r\n# Take a variable say value and initialize it to 1.\r\nvalue = 1\r\n# Set a totalsum variable which calculates the total sum and initialize it to 0.\r\ntotalsum = 0\r\n# Using while loop calculate the total sum till value greater than given number\r\nwhile(value &lt;= numb):\r\n  # calculating the total sum\r\n    totalsum = totalsum+(1\/value)\r\n    # Increment the value by 1.\r\n    value = value+1\r\n# Print the totalsum of the series, rounded to two decimal places.\r\nprint(\"The total sum of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter the total numbers of terms =26\r\nThe total sum of the series 3.85<\/pre>\n<h3 id=\"Using_While_loop(_Static_Input)\">Method #4:Using While loop( Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number of terms as static input.<\/li>\n<li>Set a <strong>totalsum<\/strong> variable which calculates the total sum and initialize it to 0.<\/li>\n<li>Take a variable say value and initialize it to 1.<\/li>\n<li>Using while loop calculate the total sum till value greater than given number<\/li>\n<li>Calculate the totalsum by incrementing it value with 1\/value.<\/li>\n<li>Increment the value by 1.<\/li>\n<li>Print the <strong>totalsum<\/strong> of the series, rounded to two decimal places.<\/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 number of terms as static input.\r\nnumb = 26\r\n# Take a variable say value and initialize it to 1.\r\nvalue = 1\r\n# Set a totalsum variable which calculates the total sum and initialize it to 0.\r\ntotalsum = 0\r\n# Using while loop calculate the total sum till value greater than given number\r\nwhile(value &lt;= numb):\r\n  # calculating the total sum\r\n    totalsum = totalsum+(1\/value)\r\n    # Increment the value by 1.\r\n    value = value+1\r\n# Print the totalsum of the series, rounded to two decimal places.\r\nprint(\"The total sum of the series \", round(totalsum, 2))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The total sum of the series 3.85<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-the-natural-numbers-summation-pattern\/\">Python Program to Print the Natural Numbers Summation Pattern<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-a-pair-with-the-given-sum-in-an-array\/\">Python Program to Find a Pair with the Given Sum in an Array<\/a><\/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<\/a><\/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<\/a><\/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<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Given a number , the task is to find the sum of series 1 + 1 \/ 2 + &#8230;&#8230; + 1 \/number in Python. The inverse of a series is considered to be in Harmonic Progression if it follows the rule of an A.P, i.e. Arithmetic Progression. In general, the terms in a harmonic &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/\"> <span class=\"screen-reader-text\">Python Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":9240,"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 the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N - 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-the-series-1-1-2-1-3-1-n\/\" \/>\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 the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Given a number , the task is to find the sum of series 1 + 1 \/ 2 + &#8230;&#8230; + 1 \/number in Python. 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The inverse of a series is considered to be in Harmonic Progression if it follows the rule of an A.P, i.e. Arithmetic Progression. In general, the terms in a harmonic &hellip; Python Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N Read More &raquo;","og_url":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/","og_site_name":"Python Programs","article_publisher":"https:\/\/www.facebook.com\/btechgeeks","article_published_time":"2021-10-01T05:30:55+00:00","article_modified_time":"2021-11-22T13:03:26+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Find-the-Sum-of-the-Series-1-12-13-\u2026..-1N.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-sum-of-the-series-1-1-2-1-3-1-n\/#primaryimage","url":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Find-the-Sum-of-the-Series-1-12-13-\u2026..-1N.png","contentUrl":"https:\/\/python-programs.com\/wp-content\/uploads\/2021\/06\/Program-to-Find-the-Sum-of-the-Series-1-12-13-\u2026..-1N.png","width":1280,"height":720,"caption":"Program to Find the Sum of the Series 1 + 12 + 13 + \u2026.. + 1N"},{"@type":"WebPage","@id":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/#webpage","url":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-series-1-1-2-1-3-1-n\/","name":"Python Program to Find the Sum of the Series: 1 + 1\/2 + 1\/3 + \u2026.. + 1\/N - 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