Sum of the first N Pronic Numbers

Sum of all the numbers in the Nth parenthesis

Last Updated : 10 Mar, 2022

Given an integer N and a sequence (1), (3, 5), (7, 9, 11), (13, 15, 17, 19), ..... the task is to find the sum of all the numbers in N^th parenthesis.
Examples:

Input: N = 2
Output: 8
3 + 5 = 8
Input: N = 3
Output: 27
7 + 9 + 11 = 27

Approach: It can be observed that for the values of N = 1, 2, 3, ... a series will be formed as 1, 8, 27, 64, 125, 216, 343, ... whose N^th term is N³
Below is the implementation of the above approach:

C++

// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;

// Function to return the sum of the
// numbers in the nth parenthesis
int findSum(int n)
{
    return pow(n, 3);
}

// Driver code
int main()
{
    int n = 3;

    cout << findSum(n);

    return 0;
}

Java

// Java implementation of the approach
class GFG
{
    
// Function to return the sum of the
// numbers in the nth parenthesis
static int findSum(int n)
{
    return (int)Math.pow(n, 3);
}

// Driver code
public static void main(String[] args)
{
    int n = 3;

    System.out.println(findSum(n));
}
}

// This code is contributed by Code_Mech

Python3

# Python3 implementation of the approach 

# Function to return the sum of the 
# numbers in the nth parenthesis 
def findSum(n) :

    return n ** 3; 

# Driver code 
if __name__ == "__main__" : 

    n = 3; 

    print(findSum(n)); 

# This code is contributed by AnkitRai01

C#

// C# implementation of the approach 
using System;
class GFG
{
    
// Function to return the sum of the
// numbers in the nth parenthesis
static int findSum(int n)
{
    return (int)Math.Pow(n, 3);
}

// Driver code
public static void Main(String[] args)
{
    int n = 3;

    Console.WriteLine(findSum(n));
}
}

// This code is contributed by 29AjayKumar

JavaScript

<script>

// Javascript implementation of the approach

// Function to return the sum of the
// numbers in the nth parenthesis
function findSum(n)
{
    return Math.pow(n, 3);
}

// Driver code
var n = 3;
document.write(findSum(n));

</script>

Output:

Time Complexity: O(1)

Auxiliary Space: O(1)

Sum of the first N Pronic Numbers

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Practice Tags :

Mathematical

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