Program to find the Nth term of the series 0, 5, 14, 27, 44, ……..

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

0, 5, 14, 27, 44 …(Nth Term)

**Examples:**

Input: N = 4 Output: 27 For N = 4, Nth term = ( 2 * N * N - N - 1 ) = ( 2 * 4 * 4 - 4 - 1 ) = 27 Input: N = 10 Output: 188

**Approach:** The generalized Nth term of this series:

Nth Term: 2 * N * N - N - 1

Below is the required implementation:

## C++

`// CPP program to find N-th term of the series: ` `// 0, 5, 14, 27, 44 ... ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// Calculate Nth term of series ` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `2 * ` `pow` `(n, 2) - n - 1; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `cout << nthTerm(N); ` ` ` ` ` `return` `0; ` `} ` |

## Java

`// Java program to find N-th term of the series: ` `// 0, 5, 14, 27, 44 ... ` `import` `java.util.*; ` ` ` `class` `solution ` `{ ` ` ` `// Calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `2` `*(` `int` `)Math.pow(n, ` `2` `) - n - ` `1` `; ` `} ` ` ` `// Driver code ` `public` `static` `void` `main(String arr[]) ` `{ ` ` ` `int` `N = ` `4` `; ` ` ` ` ` `System.out.println(nthTerm(N)); ` `} ` `} ` `//This code is contributed by Surendra_Gangwar ` |

## Python 3

`# Python 3 program to find ` `# N-th term of the series: ` `# 0, 5, 14, 27, 44 ... ` ` ` `# Calculate Nth term of series ` `def` `nthTerm(n): ` ` ` ` ` `return` `2` `*` `pow` `(n, ` `2` `) ` `-` `n ` `-` `1` ` ` `# Driver code ` `if` `__name__ ` `=` `=` `"__main__"` `: ` ` ` `N ` `=` `4` ` ` ` ` `print` `(nthTerm(N)) ` ` ` `# This code is contributed ` `# by ChitraNayal ` |

## C#

`// C# program to find ` `// N-th term of the series: ` `// 0, 5, 14, 27, 44 ... ` `using` `System; ` `class` `GFG ` `{ ` ` ` `// Calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `2 * (` `int` `)Math.Pow(n, 2) - n - 1; ` `} ` ` ` `// Driver code ` `static` `public` `void` `Main () ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `Console.Write(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed by Raj ` |

## PHP

`<?php ` `// PHP program to find ` `// N-th term of the series: ` `// 0, 5, 14, 27, 44 ... ` ` ` `// Calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `2 * pow(` `$n` `, 2) - ` `$n` `- 1; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed ` `// by Akanksha Rai(Abby_akku) ` `?> ` |

**Output:**

27

**Time Complexity:** O(1)

**Note:** Sum upto n terms of the above series(Sn) is:

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