The Program in C# Program to Display n terms of Harmonic Series & Sum  is given below:

using System;

namespace HarmonicSeries
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.WriteLine("Hello Codeauri Family,enter the number of terms in the harmonic series:");
            int n = int.Parse(Console.ReadLine());

            double sum = 0;

            Console.WriteLine("The first " + n + " terms of the harmonic series are:");
            for (int i = 1; i <= n; i++)
            {
                double term = 1.0 / i;
                Console.WriteLine("1 / " + i + " = " + term);
                sum += term;
            }

            Console.WriteLine("Okay, the sum of the first " + n + " terms of the harmonic series is: " + sum);
            Console.ReadLine();
        }
    }
}

Output:

Hello Codeauri Family,enter the number of terms in the harmonic series:
5

The first 5 terms of the harmonic series are:
1 / 1 = 1
1 / 2 = 0.5
1 / 3 = 0.333333333333333
1 / 4 = 0.25
1 / 5 = 0.2
Okay, the sum of the first 5 terms of the harmonic series is: 2.28333333333333

Pro-Tips💡

Here are the step by step execution of above program:

1. The program starts by importing the System namespace, which provides access to various classes and methods, including the Console class.
2. The program then declares a namespace HarmonicSeries and a class Program within it.
3. The Main method is the entry point of the program and it contains the logic to display the n terms of the harmonic series and its sum.
4. The program starts by displaying a message asking the user to enter the number of terms n in the harmonic series.
5. The user input is read and parsed into an int variable n.
6. The sum variable is declared and initialized to 0. This variable will store the sum of the series.
7. The program then enters a for loop that will run n times. In each iteration of the loop, a new term of the harmonic series is calculated as 1.0 / i, where i is the loop variable.
8. The calculated term is then displayed on the console using Console.WriteLine and added to the sum variable.
9. After the loop is finished, the program displays the final sum of the series using Console.WriteLine.
10. Finally, the program waits for the user to press the Enter key before ending.