C#: Find the Sum of GP series

Last update on December 20 2024 12:41:22 (UTC/GMT +8 hours)

Write a C# Sharp program to find the sum of the Geometric Progress series.

Sample Solution:-

C# Sharp Code:

using System;  // Importing necessary namespace

public class Exercise52  // Declaration of the Exercise52 class
{  
    public static void Main()  // Main method, entry point of the program
    {
        // Declaration of variables
        int g1, cr, j;
        int ntrm;
        double sum = 0, tn, gpn;

        // Displaying information about finding the sum of a GP series
        Console.Write("\n\n");
        Console.Write("Find the Sum of GP series:\n");
        Console.Write("----------------------------");
        Console.Write("\n\n");	

        // Prompting the user to input the first number, number of terms, and common ratio
        Console.Write("Input the first number of the G.P. series: ");
        g1 = Convert.ToInt32(Console.ReadLine());	

        Console.Write("Input the number of terms in the G.P. series: ");
        ntrm = Convert.ToInt32(Console.ReadLine());	

        Console.Write("Input the common ratio of G.P. series: ");
        cr = Convert.ToInt32(Console.ReadLine());	

        /*-------- generate G.P. series ---------------*/
        Console.Write("\nThe numbers for the G.P. series:\n ");
        Console.Write("1  ");  // First term of the series

        // Loop to generate the geometric progression (G.P.) series
        for (j = 1; j <= ntrm; j++)
        {
            gpn = Math.Pow(cr, j);  // Calculate each term of the series
            Console.Write("{0}  ", gpn);  // Display the terms
        }  
        /*-------- End of G.P. series generation ---------------*/

        // Formula to calculate the sum of the G.P. series
        sum = (g1 * (1 - (Math.Pow(cr, ntrm + 1)))) / (1 - cr);
        tn = g1 * (Math.Pow(cr, ntrm - 1));  // Calculating the tn term of the G.P. series

        // Displaying the tn term and the sum of the G.P. series
        Console.Write("\nThe tn term of G.P. : {0}\n\n", tn);
        Console.Write("\nThe Sum of the G.P. series : {0}\n\n", sum);
    }
}

Sample Output:

Find the Sum of GP series:                                                                                  
----------------------------                                                                                    
Input the first number of the G.P. series: 1                                                                
Input the number or terms in the G.P. series: 5                                                             
Input the common ratio of G.P. series: 10                                                                   
The numbers for the G.P. series:                                                                            
 1  10  100  1000  10000  100000                                                                            
The tn terms of G.P. : 10000                                                                                
The Sum of the G.P. series : 111111

Flowchart:

C# Sharp Code Editor:

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