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📜  求出系列的总和1 + 2 + 9 + 64 + 625 + 7776…直到N项

📅  最后修改于: 2021-04-22 06:18:01             🧑  作者: Mango

给定数字N ,任务是找到以下序列的和,直到N个项。

例子:

方法:从给定的系列中,找到第N个项的公式:

1st term = 1 = 11-1
2nd term = 2 = 22-1
3rd term = 9 = 33-1
4th term = 64 = 44-1
.
.
Nthe term = NN - 1

所以:

然后对[1,N]范围内的数字进行迭代以使用上述公式查找所有项并计算其总和。
下面是上述方法的实现:

C++
*** QuickLaTeX cannot compile formula:
 

*** Error message:
Error: Nothing to show, formula is empty


Java
// C++ program for the above approach
 
#include 
using namespace std;
 
// Function to find the sum of series
void printSeriesSum(int N)
{
    long long sum = 0;
 
    for (int i = 1; i <= N; i++) {
 
        // Generate the ith term and
        // add it to the sum
        sum += pow(i, i - 1);
    }
 
    // Print the sum
    cout << sum << endl;
}
 
// Driver Code
int main()
{
    int N = 5;
 
    printSeriesSum(N);
    return 0;
}


Python3
// Java program for the above approach
class GFG{
  
// Function to find the sum of series
static void printSeriesSum(int N)
{
    long sum = 0;
  
    for (int i = 1; i <= N; i++) {
  
        // Generate the ith term and
        // add it to the sum
        sum += Math.pow(i, i - 1);
    }
  
    // Print the sum
    System.out.print(sum +"\n");
}
  
// Driver Code
public static void main(String[] args)
{
    int N = 5;
  
    printSeriesSum(N);
}
}
 
// This code is contributed by Princi Singh


C#
# Python3 program for the above approach
 
# Function to find the summ of series
def printSeriessumm(N):
    summ = 0
     
    for i in range(1,N+1):
         
        # Generate the ith term and
        # add it to the summ
        summ += pow(i, i - 1)
     
    # Prthe summ
    print(summ)
     
# Driver Code
 
N = 5
printSeriessumm(N)
 
# This code is contributed by shubhamsingh10


Javascript
// C# program for the above approach
using System;
 
class GFG{
   
// Function to find the sum of series
static void printSeriesSum(int N)
{
    double sum = 0;
   
    for (int i = 1; i <= N; i++) {
   
        // Generate the ith term and
        // add it to the sum
        sum += Math.Pow(i, i - 1);
    }
   
    // Print the sum
    Console.Write(sum +"\n");
}
   
// Driver Code
public static void Main(String[] args)
{
    int N = 5;
    printSeriesSum(N);
}
}
 
// This code is contributed by PrinciRaj1992


输出: