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Write a program that Calculate the value of π
from the infinite series
Print a table that shows the value of π approximated
by one term of this series, by two terms, by three
terms, and so on.
Accuracy set at: 40
term pi
1 4.000000
2 2.666667
3 3.466667
4 2.895238
5 3.339683
6 2.976046
7 3.283738
8 3.017072
40 3.116597

What I have tried:

using System;

using System.Collections.Generic;

using System.Linq;

using System.Text;

namespace picalc


    class Program


        static void Main(string[] args)


            int accuracy;

            double piValue = 0;

            double numerator = 4.0;

            double denominator = 1.0;

            Console.Write("Enter the number of terms:");

            accuracy = Convert.ToInt32(Console.ReadLine());

            int i;

            Console.WriteLine("Term \t\tPi");

            for (i = 1; i <= accuracy; i++)


                double x = (numerator / denominator);

                if ((i % 2) == 0)


                    piValue -= x;




                    piValue += x;


                denominator += 2.0;

                Console.WriteLine("{0}\t\t{1:F16}", i, piValue);       





Updated 30-Dec-21 7:02am
Patrice T 30-Dec-21 10:32am    
And you have a question ?
Shams Imad 30-Dec-21 11:13am    
yes,How can this question be solved?

Write a program that Calculate the value of π from the infinite series

As programmer, your job is to create solutions to given problems, as student, this homework is training/practicing and all homework makes early experience.
First of all you need to get informations about known methods to calculate pi with infinite decimals: Infinite Expressions for Pi[^]
If you take the pain to search internet, you will find pieces of code that do the job.
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Thank you. Looks fine. Leibniz would be happy.

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Shams Imad 30-Dec-21 11:14am    
How can this question be solved?
Luc Pattyn 30-Dec-21 11:30am    
I see one way to improve your code:
rather than asking the user how many iterations he wants (what you erroneously call "accuracy"), you could let the loop continue until the difference drops below a specified tolerance, say 1e-12

It then would be wise not to show all intermediate steps...

Shams Imad 30-Dec-21 11:32am    
Can you write the code to solve this question?
Luc Pattyn 30-Dec-21 11:58am    
Writing the code is your job, not mine.
You're on track; see my suggestion in my previous reply to you.

Shams Imad 30-Dec-21 11:59am    
I don't understand, can you explain to me your previous comment?

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