# Sum of all the numbers in the Nth parenthesis

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 Nth parenthesis.

Examples:

Input: N = 2
Output: 8
3 + 5 = 8

Input: N = 3
Output: 27
7 + 9 + 11 = 27

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 Nth term is N3

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach ` `#include ` `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 `

Output:

```27
```

Time Complexity: O(1)

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