# Sum of all the numbers in the Nth row of the given triangle

• Last Updated : 01 Apr, 2021

Given a positive integer N, the task is to find the sum of all the numbers in the Nth row of the below triangle.

3 2
6 2 3
10 2 3 4
15 2 3 4 5
…
…
…

Examples:

Input: N = 2
Output:
3 + 2 = 5
Input: N = 3
Output: 11
6 + 2 + 3 = 11

Approach: Taking a closer look at the pattern, it can be observed that a series will be formed as 1, 5, 11, 19, 29, 41, 55, … whose Nth term is (N – 1) + N2.
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 nth row elements of``// the given triangle``int` `getSum(``int` `n)``{``    ``return` `((n - 1) + ``pow``(n, 2));``}` `// Driver code``int` `main()``{``    ``int` `n = 3;` `    ``cout << getSum(n);` `    ``return` `0;``}`

## Java

 `// Java implementation of the approach``class` `GFG``{``    ` `// Function to return the sum``// of the nth row elements of``// the given triangle``static` `int` `getSum(``int` `n)``{``    ``return` `((n - ``1``) + (``int``)Math.pow(n, ``2``));``}` `// Driver code``public` `static` `void` `main(String[] args)``{``    ``int` `n = ``3``;` `    ``System.out.println(getSum(n));``}``}` `// This code is contributed by Code_Mech`

## Python3

 `# Python3 implementation of the approach` `# Function to return the sum``# of the nth row elements of``# the given triangle``def` `getSum(n) :` `    ``return` `((n ``-` `1``) ``+` `pow``(n, ``2``));` `# Driver code``if` `__name__ ``=``=` `"__main__"` `:` `    ``n ``=` `3``;` `    ``print``(getSum(n));` `# This code is contributed by AnkitRai01`

## C#

 `// C# implementation of the approach``using` `System;``    ` `class` `GFG``{``    ` `// Function to return the sum``// of the nth row elements of``// the given triangle``static` `int` `getSum(``int` `n)``{``    ``return` `((n - 1) + (``int``)Math.Pow(n, 2));``}` `// Driver code``public` `static` `void` `Main(String[] args)``{``    ``int` `n = 3;` `    ``Console.WriteLine(getSum(n));``}``}` `// This code is contributed by 29AjayKumar`

## Javascript

 ``
Output:
`11`

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