# Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, …..

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

2, 12, 28, 50, 77, 112, 152, 198…..(N Terms)

**Examples:**

Input: N = 4 Output: 50 For N = 4 4th Term = ( 3 * 4 * 4 + 4 - 2) = 50 Input: N = 10 Output: 307

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

Below is the required implementation:

## C++

`// C++ program to find the N-th term of the series: ` `// 2, 12, 28, 50, 77, 112, 152, 198, ..... ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// calculate Nth term of series ` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `3 * ` `pow` `(n, 2) + n - 2; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `cout << nthTerm(N) << endl; ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find the N-th term of the series: ` `// 2, 12, 28, 50, 77, 112, 152, 198, ..... ` `import` `java.util.*; ` ` ` `class` `solution ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` `return` `3` `*(` `int` `)Math.pow(n, ` `2` `) + n - ` `2` `; ` `} ` ` ` `//Driver program ` `public` `static` `void` `main(String arr[]) ` `{ ` ` ` ` ` `int` `N = ` `4` `; ` ` ` `System.out.println(nthTerm(N)); ` `} ` ` ` `} ` `//This code is contributed by Surendra_Gangwar ` |

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## Python3

`# Python3 program to find the ` `# N-th term of the series: ` `# 2, 12, 28, 50, 77, 112, 152, 198, ..... ` ` ` `# calculate Nth term of series ` `def` `nthTerm(n): ` ` ` ` ` `return` `3` `*` `pow` `(n, ` `2` `) ` `+` `n ` `-` `2` ` ` `# Driver code ` `N ` `=` `4` `print` `(nthTerm(N)) ` ` ` `# This code is contributed by ` `# Sanjit_Prasad ` |

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## C#

`// C# program to find the ` `// N-th term of the series: ` `// 2, 12, 28, 50, 77, 112, 152, 198, ..... ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `3 * (` `int` `)Math.Pow(n, 2) + ` ` ` `n - 2; ` `} ` ` ` `// Driver Code ` `public` `static` `void` `Main() ` `{ ` ` ` `int` `N = 4; ` ` ` `Console.Write(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed ` `// by ChitraNayal ` |

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## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series: ` `// 2, 12, 28, 50, 77, ` `// 112, 152, 198, ..... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `3 * pow(` `$n` `, 2) + ` `$n` `- 2; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `) ; ` ` ` `// This code is contributed ` `// by inder_verma ` `?> ` |

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**Output:**

50

**Time Complexity:** O(1)

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