{"id":19934,"date":"2021-09-02T15:23:41","date_gmt":"2021-09-02T09:53:41","guid":{"rendered":"https:\/\/python-programs.com\/?p=19934"},"modified":"2021-11-22T18:36:29","modified_gmt":"2021-11-22T13:06:29","slug":"python-program-to-find-the-sum-of-series-1-x-x-3-x-n","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-x-x-3-x-n\/","title":{"rendered":"Python Program to Find the Sum of Series 1+X+X^3&#8230;+X^N"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-find-sum-of-series-1-2-2-3-3-4-4-5-5-6-n-n-1\/\">Python Program to Find Sum of Series 1\/2-2\/3+3\/4-4\/5+5\/6&#8230;+N\/N+1<\/a><\/p>\n<p>Given the numbers, N and X and the task is to find the sum of the given series<strong> (1+X+X^3&#8230;+X^N)<\/strong> for the given numbers in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 4\r\nGiven X value =  8<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of the series till the given number N and x value { 4 8 } =  520<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 5\r\nGiven X value = 11<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of the series till the given number N and x value { 5 11 } =  162393<\/pre>\n<h2>Program to Find the Sum of Series 1+X+X^3&#8230;+X^N in Python<\/h2>\n<p>Below are the ways to find the sum of the given series<strong> (1+X+X^3&#8230;+X^N) <\/strong>for the given numbers in Python :<\/p>\n<ul>\n<li><a href=\"#Using_While_Loop_(Static_Input)\">Using While Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_While_loop_(User_Input)\">Using While loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_While_Loop_(Static_Input)\">Method #1: Using While Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as static input and store it in a variable.<\/li>\n<li>Give the value of X as static input and store it in another variable.<\/li>\n<li>Take a variable say <strong>resltsum<\/strong> which gives the sum of the given series till N and initialize its value to 0.<\/li>\n<li>Take another variable say <strong>k <\/strong>and initialize its value with 1.<\/li>\n<li>Loop until the value of <strong>k <\/strong>is less than or equal to the given number using the while loop.<\/li>\n<li>Inside the loop, calculate the value of X raised to the power <strong>k <\/strong>using the pow() function and store it in a variable say <strong>p<\/strong>.<\/li>\n<li>Add the above value of <strong>p <\/strong>to the\u00a0<strong>resltsum <\/strong>and store it in the same variable.<\/li>\n<li>Increment the value of <strong>k<\/strong> by 2 and store it in the same variable <strong>k.<\/strong><\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/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 N as static input and store it in a variable.\r\ngvn_numb = 4\r\n# Give the value of x as static input and store it in another variable.\r\ngvn_x_val = 8\r\n# Take a variable say resltsum which gives the sum of the given series till N and\r\n# initialize its value to 0.\r\nresltsum = 0\r\n# Take another variable say k and initialize its value with 1.\r\nk = 1\r\n# Loop until the value of k is less than or equal to the given number using the while loop.\r\nwhile(k &lt;= gvn_numb):\r\n    # Inside the loop, calculate the value of X raised to the power k using the pow() function\r\n    # and store it in a variable say p.\r\n    p = pow(gvn_x_val, k)\r\n # Add the above value of p to the\u00a0resltsum and store it in the same variable.\r\n    resltsum += p\r\n # Increment the value of k by 2 and store it in the same variable k.\r\n    k += 2\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    \"The total sum of the series till the given number N and x value {\", gvn_numb, gvn_x_val, \"} = \", resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The total sum of the series till the given number N and x value { 4 8 } =  520<\/pre>\n<h3 id=\"Using_While_loop_(User_Input)\">Method #2: Using While loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number N as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the value of X as user input using the int(input()) function and store it in another variable.<\/li>\n<li>Take a variable say <strong>resltsum<\/strong> which gives the sum of the given series till N and initialize its value to 0.<\/li>\n<li>Take another variable say <strong>k <\/strong>and initialize its value with 1.<\/li>\n<li>Loop until the value of <strong>k <\/strong>is less than or equal to the given number using the while loop.<\/li>\n<li>Inside the loop, calculate the value of X raised to the power <strong>k <\/strong>using the pow() function and store it in a variable say <strong>p<\/strong>.<\/li>\n<li>Add the above value of <strong>p <\/strong>to the\u00a0<strong>resltsum <\/strong>and store it in the same variable.<\/li>\n<li>Increment the value of <strong>k<\/strong> by 2 and store it in the same variable <strong>k.<\/strong><\/li>\n<li>Print the <strong>resltsum<\/strong> value which is the result of the series till the given Number N.<\/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 N as user input using the int(input()) function and\r\n# store it in a variable.\r\ngvn_numb = int(input(\"Enter some Random Number = \"))\r\n# Give the value of X as user input using the int(input()) function and\r\n# store it in another variable.\r\ngvn_x_val = int(input(\"Enter some Random Number = \"))\r\n# Take a variable say resltsum which gives the sum of the given series till N and\r\n# initialize its value to 0.\r\nresltsum = 0\r\n# Take another variable say k and initialize its value with 1.\r\nk = 1\r\n# Loop until the value of k is less than or equal to the given number using the while loop.\r\nwhile(k &lt;= gvn_numb):\r\n    # Inside the loop, calculate the value of X raised to the power k using the pow() function\r\n    # and store it in a variable say p.\r\n    p = pow(gvn_x_val, k)\r\n # Add the above value of p to the\u00a0resltsum and store it in the same variable.\r\n    resltsum += p\r\n # Increment the value of k by 2 and store it in the same variable k.\r\n    k += 2\r\n# Print the resltsum value which is the result of the series till the given Number N.\r\nprint(\r\n    \"The total sum of the series till the given number N and x value {\", gvn_numb, gvn_x_val, \"} = \", resltsum)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some Random Number = 5\r\nEnter some Random Number = 11\r\nThe total sum of the series till the given number N and x value { 5 11 } = 162393<\/pre>\n<p>Grab the opportunity and utilize the <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Program Code Examples<\/a> over here to prepare basic and advanced topics too with ease and clear all your doubts.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-3-7-13-21-n\/\">Python Program to Find the Sum of Series 3+7+13+21&#8230;..+N<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-sum-of-series-11-31-51-7-1-n2\/\">Python Program to Find Sum of Series 1+1\/3+1\/5+1\/7+&#8230;..1\/(N+2)<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-sum-of-series-1-2-3-4-5-n\/\">Python Program to Find Sum of Series 1-2+3-4+5&#8230;+N<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-triangular-number-series-1-3-6-10-15-n\/\">Python Program to Print Triangular Number series 1 3 6 10 15 &#8230;N<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Find Sum of Series 1\/2-2\/3+3\/4-4\/5+5\/6&#8230;+N\/N+1 Given the numbers, N and X and the task is to find the sum of the given series (1+X+X^3&#8230;+X^N) for the given numbers in Python. Examples: Example1: Input: Given Number = 4 Given X value = 8 Output: The total &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-series-1-x-x-3-x-n\/\"> <span class=\"screen-reader-text\">Python Program to Find the Sum of Series 1+X+X^3&#8230;+X^N<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":19964,"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 Series 1+X+X^3...+X^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-series-1-x-x-3-x-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 Series 1+X+X^3...+X^N - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Find Sum of Series 1\/2-2\/3+3\/4-4\/5+5\/6&#8230;+N\/N+1 Given the numbers, N and X and the task is to find the sum of the given series (1+X+X^3&#8230;+X^N) for the given numbers in Python. 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