# 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, …(N Terms)

Examples:

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

Input: N = 10
Output: 122

```

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

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, … ` ` `  `# 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

 ` `

Output:

```10
```

Time Complexity: O(1)

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.