{"id":28706,"date":"2023-12-20T16:48:44","date_gmt":"2023-12-20T11:18:44","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=28706"},"modified":"2023-12-21T17:23:30","modified_gmt":"2023-12-21T11:53:30","slug":"java-program-to-find-the-sum-of-series-a2-a3-a4-an","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-a2-a3-a4-an\/","title":{"rendered":"Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N)"},"content":{"rendered":"<p>In the previous article, we have discussed about <a href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-12-23-34-n\/\">Java Program to Find the Sum of Series (1*2) + (2*3) + (3*4) + \u2026\u2026 + N<\/a><\/p>\n<p>In this article we are going to see how to find sum of the series (a*2) + (a*3) + \u2026\u2026 + (a*N) by using Java programming language.<\/p>\n<h2>Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N)<\/h2>\n<p>On observing the pattern carefully, we can see terms are in the form of <code>(a*b)<\/code> where &#8216;<code>b<\/code>&#8216; value starts from 2 and in each term it is incremented by 1.<\/p>\n<p><strong>Example:<\/strong><\/p>\n<pre>Suppose \r\na = 2\r\nn = 5\r\nThen sum of series:\r\n(2*2) + (2*3) + (2*4) + (2*5) \r\n= 4+6+8+10 \r\n= 28<\/pre>\n<p>Let&#8217;s see different ways to find sum of the series (a*2) + (a*3) + \u2026\u2026 + N.<\/p>\n<ul>\n<li><a href=\"#By_Using_for_Loop\">By Using for Loop<\/a><\/li>\n<li><a href=\"#By_Using_while_Loop\">By Using while Loop<\/a><\/li>\n<li><a href=\"#By_Using_User_Defined_Method\">By Using User Defined Method<\/a><\/li>\n<\/ul>\n<h3><a id=\"By_Using_for_Loop\"><\/a>Method-1: Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N) By Using For Loop<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Declare an integer variable say \u2018<code>a<\/code>\u2019 which holds the value of first \u201c<code>a<\/code>\u201d which will be fixed.<\/li>\n<li>Declare an integer variable say \u2018<code>n<\/code>\u2019 which holds the last value of second no in the series.<\/li>\n<li>Create Scanner class object.<\/li>\n<li>Prompt the user to enter values for <code>a<\/code> and <code>n<\/code>.<\/li>\n<li>Use a for loop <code>from i=2 to i&lt;=n<\/code><\/li>\n<li>Inside for loop we will multiply <code>a*i<\/code> and add with sum.<\/li>\n<li>Print the result.<\/li>\n<\/ul>\n<p><strong>Program:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\">import java.util.*;\r\npublic class Main\r\n{\r\n    public static void main(String args[])\r\n    {\r\n        \/\/creating object of Scanner class \r\n        Scanner s = new Scanner(System.in);\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of a \");\r\n        int a = s.nextInt();\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of last number 'n' \");\r\n        int n = s.nextInt();\r\n        \/\/for loop to print the series\r\n        long sum = 0;\r\n        for (int i = 2; i &lt;= n; i++)\r\n          sum += a * i;\r\n        System.out.println(\"Sum of the series is \" + sum);\r\n    }\r\n}\r\n<\/pre>\n<pre>Output:\r\n\r\nEnter the value of a \r\n2\r\nEnter the value of last number 'n' \r\n5\r\nSum of the series is 28<\/pre>\n<h3><a id=\"By_Using_while_Loop\"><\/a>Method-2: Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N) By Using While Loop<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Declare an integer variable say \u2018<code>a<\/code>\u2019 which holds the value of first \u201c<code>a<\/code>\u201d which will be fixed.<\/li>\n<li>Declare an integer variable say \u2018<code>n<\/code>\u2019 which holds the last value of second no in the series.<\/li>\n<li>Create Scanner class object.<\/li>\n<li>Prompt the user to enter values for <code>a<\/code> and <code>n<\/code>.<\/li>\n<li>Use a while loop <code>from i=2 to i&lt;=n<\/code><\/li>\n<li>Inside while loop we will multiply <code>a*i<\/code> and add with sum.<\/li>\n<li>Print the result.<\/li>\n<\/ul>\n<p><strong>Program:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\">import java.util.*;\r\npublic class Main\r\n{\r\n    public static void main(String args[])\r\n    {\r\n        \/\/creating object of Scanner class \r\n        Scanner s = new Scanner(System.in);\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of a \");\r\n        int a = s.nextInt();\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of last number 'n' \");\r\n        int n = s.nextInt();\r\n        \/\/while loop to print the series\r\n        double sum = 0;\r\n        int i = 2;\r\n        while(i &lt;= n) \r\n        {\r\n           sum += a*i;\r\n            i ++;\r\n        }\r\n        System.out.println(\"sum of the series is \" + sum);\r\n    }\r\n}\r\n<\/pre>\n<pre>Output:\r\n\r\nEnter the value of a \r\n2\r\nEnter the value of last number 'n' \r\n5\r\nsum of the series is 28.0<\/pre>\n<h3><a id=\"By_Using_User_Defined_Method\"><\/a>Method-3: Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N) By Using User Defined Method<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Declare an integer variable say \u2018<code>a<\/code>\u2019 which holds the value of first \u201c<code>a<\/code>\u201d which will be fixed.<\/li>\n<li>Declare an integer variable say \u2018<code>n<\/code>\u2019 which holds the last value of second no in the series.<\/li>\n<li>Create Scanner class object.<\/li>\n<li>Prompt the user to enter value for <code>a<\/code> and <code>n<\/code>.<\/li>\n<li>Then call a user defined method by passing <code>a<\/code> and <code>n<\/code>.<\/li>\n<li>Use a for loop <code>from i=2 to i&lt;=n<\/code><\/li>\n<li>Inside for loop we will multiply <code>a*i<\/code> and add with sum.<\/li>\n<li>Print the result.<\/li>\n<\/ul>\n<p><strong>Program:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\">import java.util.*;\r\npublic class Main\r\n{\r\n    public static void main(String[] args)\r\n   {\r\n        \/\/ creating object of scanner class \r\n        Scanner s = new Scanner(System.in);\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of a \");\r\n        int a = s.nextInt();\r\n        \/\/Taking input of number of elements in the series\r\n        System.out.println(\"Enter the value of last number 'n' \");\r\n        int n = s.nextInt();\r\n       \/\/ calling m1 method to print the series\r\n        m1(a,n);\r\n   }\r\n    public static void m1(int a, int n)\r\n    {\r\n        \/\/for loop to print the series\r\n        long sum = 0;\r\n        for (int i = 2; i &lt;= n; i++)\r\n          sum += a * i;\r\n        System.out.println(\"Sum of the series is \" + sum);\r\n    }\r\n}\r\n<\/pre>\n<pre>Output:\r\n\r\nEnter the value of a \r\n5\r\nEnter the value of last number 'n' \r\n10\r\nSum of the series is 270<\/pre>\n<p>Provided list of <a href=\"https:\/\/btechgeeks.com\/java-programming-examples\/\">Simple Java Programs<\/a> is specially designed for freshers and beginners to get familiarize with the concepts of Java programming language and become pro in coding.<\/p>\n<p><strong>Related Java Programs:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-2-46-8-n\/\">Java Program to Find the Sum of Series 2-4+6-8+\u2026-\/+N<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-1-22-a-33-a2-n\/\">Java Program to Find the Sum of Series 1 +2^2\/a + 3^3\/a^2 +\u2026\u2026 + N<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-12-a-32-a2-52-a3-n\/\">Java Program to Find the Sum of Series 1^2\/a + 3^2\/a^2 + 5^2\/a^3 + \u2026\u2026 + N<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-1-x-1-x2-1-x3-1-xn\/\">Java Program to Find the Sum of Series 1\/x + 1\/x^2 + 1\/x^3 + \u2026\u2026 + 1\/x^n<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed about Java Program to Find the Sum of Series (1*2) + (2*3) + (3*4) + \u2026\u2026 + N In this article we are going to see how to find sum of the series (a*2) + (a*3) + \u2026\u2026 + (a*N) by using Java programming language. Java Program to &#8230; <a title=\"Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N)\" class=\"read-more\" href=\"https:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-a2-a3-a4-an\/\" aria-label=\"More on Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N)\">Read more<\/a><\/p>\n","protected":false},"author":9,"featured_media":29170,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[15],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N) - BTech Geeks<\/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:\/\/btechgeeks.com\/java-program-to-find-the-sum-of-series-a2-a3-a4-an\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Java Program to Find the Sum of Series (a*2) + (a*3) + (a*4) + \u2026\u2026 + (a*N) - BTech Geeks\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed about Java Program to Find the Sum of Series (1*2) + (2*3) + (3*4) + \u2026\u2026 + N In this article we are going to see how to find sum of the series (a*2) + (a*3) + \u2026\u2026 + (a*N) by using Java programming language. 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