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

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

```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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: ` `// 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

 ` `

Output:

```34
```

Time Complexity: O(1)

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