程序查找系列1 + 1/2 + 1/3 + 1/4 + .. + 1 / n的总和

如果序列的逆遵循AP的规则，即算术级数，则称其为谐波级数。通常，谐波级数中的项可以表示为：1 / a，1 /(a + d) ，1 /(a + 2d)，1 /(a + 3d)…。 1 /(a + nd)。
由于AP的N项为(a +(n – 1)d)。因此，谐波级数的N项是AP的N项的倒数，即：1 /(a +(n – 1)d)
其中“ a”是AP的第一项，“ d”是共同的区别。
我们可以使用for循环来找到总和。

C++

// C++ program to find sum of series
#include 
using namespace std;
 
// Function to return sum of
// 1/1 + 1/2 + 1/3 + ..+ 1/n
class gfg
{
     
public : double sum(int n)
{
    double i, s = 0.0;
    for (i = 1; i <= n; i++)
    s = s + 1/i;
    return s;
}
};
 
// Driver code
int main()
{
    gfg g;
    int n = 5;
    cout << "Sum is " << g.sum(n);
    return 0;
}
 
// This code is contributed by SoM15242.

C

// C program to find sum of series
#include 
 
// Function to return sum of 1/1 + 1/2 + 1/3 + ..+ 1/n
double sum(int n)
{
  double i, s = 0.0;
  for (i = 1; i <= n; i++)
      s = s + 1/i;
  return s;
}
 
int main()
{
    int n = 5;
    printf("Sum is %f", sum(n));
    return 0;
}

Java

// Java Program to find sum of series
import java.io.*;
 
class GFG {
     
    // Function to return sum of
    // 1/1 + 1/2 + 1/3 + ..+ 1/n
    static double sum(int n)
    {
      double i, s = 0.0;
      for (i = 1; i <= n; i++)
          s = s + 1/i;
      return s;
    }
  
    
    // Driven Program
    public static void main(String args[])
    {
        int n = 5;
        System.out.printf("Sum is %f", sum(n));
         
    }
}
 
// This code is contributed by Nikita Tiwari.

Python3

# Python program to find the sum of series
 
def sum(n):
    i = 1
    s = 0.0
    for i in range(1, n+1):
        s = s + 1/i;
    return s;
 
# Driver Code
n = 5
print("Sum is", round(sum(n), 6))
 
# This code is contributed by Chinmoy Lenka

C#

// C# Program to find sum of series
using System;
 
class GFG {
     
    // Function to return sum of
    // 1/1 + 1/2 + 1/3 + ..+ 1/n
    static float sum(int n)
    {
        double i, s = 0.0;
         
        for (i = 1; i <= n; i++)
            s = s + 1/i;
             
        return (float)s;
    }
 
     
    // Driven Program
    public static void Main()
    {
        int n = 5;
         
        Console.WriteLine("Sum is "
                           + sum(n));
         
    }
}
 
// This code is contributed by vt_m.

Javascript

// javascript Program to find sum of series
     
// Function to return sum of
// 1/1 + 1/2 + 1/3 + ..+ 1/n
function sum(n)
{
  var i, s = 0.0;
  for (i = 1; i <= n; i++)
      s = s + 1/i;
  return s;
}
    
// Driven Program
var n = 5;
document.write(sum(n).toFixed(5));
 
// This code is contributed by Amit Katiyar

输出：

2.283333