# 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

**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 <iostream> ` `#include <math.h> ` `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; ` `} ` |

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## 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)); ` ` ` `} ` ` ` `} ` |

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## 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 ` |

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## 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 ` |

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## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `pow(` `$n` `, 2) - 2 * ` `$n` `+ 2; ` `} ` ` ` `// Driver Code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed ` `// by ChitraNayal ` `?> ` |

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**Output:**

10

**Time Complexity:** O(1)

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