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

• Last Updated : 20 Aug, 2022

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:

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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 ``#include ``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;``}`

## 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``}`

## 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`

## 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`

## PHP

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## Javascript

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Output:

`54`

Time Complexity: O(1), since there is no loop or recursion.

Space Complexity: O(1) since using constant variables

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