# Program to find Nth term of series 1, 6, 17, 34, 56, 86, 121, 162, …….

• Last Updated : 10 Mar, 2021

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

1, 6, 17, 34, 56, 86, 121, 162, …..(N Terms)

Examples:

```Input: N = 4
Output: 34
For N = 4
4th Term = ( 3 * 4 * 4 - 4 * 4 + 2)
= 34

Input: N = 10
Output: 261```

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:``// 1, 6, 17, 34, 56, 86, 121, 162, .....``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `3 * ``pow``(n, 2) - 4 * 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:``// 1, 6, 17, 34, 56, 86, 121, 162, .....` `public` `class` `GFG {``    ` `    ``// calculate Nth term of series``    ``static` `int` `nthTerm(``int` `n)``    ``{``        ``return` `3` `* (``int``) Math.pow(n, ``2``) - ``4` `* 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

 `# Python program to find the``# N-th term of the series:``# 1, 6, 17, 34, 56, 86, 121, 162, .....` `# calculate Nth term of series``def` `nthTerm(n):` `    ``return` `3` `*` `pow``(n, ``2``) ``-` `4` `*` `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:``// 1, 6, 17, 34, 56, 86, 121, 162, .....``using` `System;``class` `GFG``{``    ` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `3 * (``int``) Math.Pow(n, 2) -``                         ``4 * n + 2;``}``    ` `// Driver code``public` `static` `void` `Main()``{``    ``int` `N = 4;``        ` `    ``Console.Write(nthTerm(N));``}``}` `// This code is contributed``// by ChitraNayal`

## PHP

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## Javascript

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Output:

`34`

Time Complexity: O(1)

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