# Program to find Nth term of series 3, 12, 29, 54, 86, 128, 177, 234, …..

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

3, 12, 29, 54, 86, 128, 177, 234, …..(N Terms)

**Examples:**

Input: N = 4 Output: 54 For N = 4 4th Term = (4 * 4 * 4 - 3 * 4 + 2) = 54 Input: N = 10 Output: 371

**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: ` `// 3, 12, 29, 54, 86, 128, 177, 234, ..... ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// calculate Nth term of series ` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `4 * ` `pow` `(n, 2) - 3 * 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: ` `// 3, 12, 29, 54, 86, 128, 177, 234, ..... ` ` ` `public` `class` `GFG { ` ` ` ` ` `// calculate Nth term of series ` ` ` `static` `int` `nthTerm(` `int` `n) ` ` ` `{ ` ` ` `return` `4` `* (` `int` `)Math.pow(n, ` `2` `) - ` `3` `* n + ` `2` `; ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `main(String args[]) ` ` ` `{ ` ` ` `int` `N = ` `4` `; ` ` ` ` ` `System.out.println(nthTerm(N)); ` ` ` ` ` `} ` ` ` `// This Code is contributed by ANKITRAI1 ` `} ` |

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## Python3

`# Python3 program to find the ` `# N-th term of the series: ` `# 3, 12, 29, 54, 86, 128, 177, 234, ..... ` ` ` `# calculate Nth term of series ` `def` `nthTerm(n): ` ` ` ` ` `return` `4` `*` `pow` `(n, ` `2` `) ` `-` `3` `*` `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: ` `// 3, 12, 29, 54, 86, 128, 177, 234,... ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `4 * (` `int` `)Math.Pow(n, 2) - ` ` ` `3 * n + 2 ; ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main() ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `Console.WriteLine(nthTerm(N)); ` `} ` `} ` ` ` `// This Code is contributed ` `// by inder_verma ` |

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## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series: ` `// 3, 12, 29, 54, 86, 128, 177, 234, ... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `4 * pow(` `$n` `, 2) - ` ` ` `3 * ` `$n` `+ 2; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `) . ` `"\n"` `; ` ` ` `// This code is contributed ` `// by ChitraNayal ` `?> ` |

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**Output:**

54

**Time Complexity:** O(1)

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