# Program to find the Nth term of series 0, 4, 14, 30, 51, 80, 114, 154, 200, …

Given a number N. The task is to write a program to find the Nth term of the below series:

0, 4, 14, 30, 51, 80, 114, 154, 200, â€¦(N Terms)

Examples:

```Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 - 2 * 4 + 2)
= 10

Input: N = 10
Output: 122```

Approach: The generalized Nth term of this series:

` `

Below is the required implementation:

## C++

 `// CPP program to find the N-th term of the series:` `// 5, 10, 17, 26, 37, 50, 65, 82, ...` `#include ` `#include ` `using` `namespace` `std;`   `// calculate Nth term of series` `int` `nthTerm(``int` `n)` `{` `    ``return` `pow``(n, 2) - 2 * n + 2;` `}`   `// Driver Function` `int` `main()` `{` `    ``int` `N = 4;`   `    ``cout << nthTerm(N);`   `    ``return` `0;` `}`

## Java

 `// Java program to find the N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` `import` `java.util.*; `   `class` `solution ` `{ `   `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    `  `    ``//return the total sum ` `    ``return` `(``int``)Math.pow(n, ``2``) - ``2` `* n + ``2``; ` `} `   `//Driver function ` `public` `static` `void` `main(String arr[]) ` `{ ` `    ``int` `N = ``4``; `   `    ``System.out.println(nthTerm(N)); `   `} `   `} `

## Python3

 `# Python3 program to find the N-th ` `# term of the series: ` `# 0, 4, 14, 30, 51, 80, 114, 154, 200, â€¦`   `# from math lib. import everything` `from` `math ``import` `*`   `# calculate Nth term of series ` `def` `nthTerm(n) :` `    `  `    ``return` `pow``(n, ``2``) ``-` `2` `*` `n ``+` `2`   `        `  `# Driver code     ` `if` `__name__ ``=``=` `"__main__"` `:`   `    ``N ``=` `4` `    ``print``(nthTerm(N))`   `# This code is contributed by ` `# ANKITRAI1`

## C#

 `// C# program to find the ` `// N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` `using` `System;`   `class` `GFG` `{`   `// calculate Nth term of series ` `public` `static` `int` `nthTerm(``int` `n)` `{`   `    ``// return the total sum ` `    ``return` `(``int``)Math.Pow(n, 2) - ` `                    ``2 * n + 2;` `}`   `// Driver Code ` `public` `static` `void` `Main(``string``[] arr)` `{` `    ``int` `N = 4;`   `    ``Console.WriteLine(nthTerm(N));` `}` `}`   `// This code is contributed` `// by Shrikant13`

## PHP

 ``

## Javascript

 ``

Output:

`10`

Time Complexity: O(1), since there is no loop or recursion.

Space Complexity: O(1) since using constant variables

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