C#: Calculate the sum of the series [ 1-X^2/2!+X^4/4!- .........]

Last update on December 20 2024 12:40:47 (UTC/GMT +8 hours)

Write a program in C# Sharp to find the sum of the series [ 1-X^2/2!+X^4/4!- .........].

Sample Solution:

C# Sharp Code:

using System;  // Importing necessary namespace

public class Exercise18  // Declaration of the Exercise18 class
{  
    public static void Main()  // Main method, entry point of the program
    {
        double x, sum, t, d;  // Declaration of variables of type double
        int i, n;  // Declaration of variables of type integer

        Console.Write("\n\n");  // Displaying new lines
        Console.Write("Calculate the sum of the series [ 1-X^2/2!+X^4/4!- .........]:\n");  // Displaying the purpose of the program
        Console.Write("----------------------------------------------------------------");  // Displaying a separator
        Console.Write("\n\n");

        Console.Write("Input the Value of x :");  // Prompting the user to input the value of x
        x = Convert.ToInt32(Console.ReadLine());  // Reading the value of x entered by the user

        Console.Write("Input the number of terms : ");  // Prompting the user to input the number of terms
        n = Convert.ToInt32(Console.ReadLine());  // Reading the number of terms entered by the user

        sum = 1;  // Initializing the sum to 1 (as the series starts with 1)
        t = 1;  // Initializing t to 1 (initial term)

        // Loop to calculate the sum of the series
        for (i = 1; i < n; i++)
        {
            d = (2 * i) * (2 * i - 1);  // Calculation of denominator value (factorial)
            t = -t * x * x / d;  // Calculation of the current term in the series
            sum = sum + t;  // Adding the current term to the sum
        }

        // Displaying the calculated sum, number of terms, and value of x
        Console.Write("\nThe sum = {0}\nNumber of terms = {1}\nValue of x = {2}\n", sum, n, x);
    } 
}

Sample Output:

Calculate the sum of the series [ 1-X^2/2!+X^4/4!- .........]:                                                                                                 
----------------------------------------------------------------    
Input the Value of x :5                                                                                                                                        
Input the number of terms : 2                                                                                                         
the sum = -11.5                                                                                                         
Number of terms = 2  
value of x = 5

Flowchart:

C# Sharp Code Editor:

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