# Program to find the Nth term of series 5, 10, 17, 26, 37, 50, 65, 82, …

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

5, 10, 17, 26, 37, 50, 65, 82, …(N Terms)

Examples:

```Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 + 2 * 4 + 2)
= 26
Input: N = 10
Output: 122

```

## 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++

 `// CPP program to find the N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` `#include ` `#include ` `using` `namespace` `std; ` ` `  `// calculate Nth term of series ` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `pow``(n, 2) + 2 * n + 2; ` `} ` ` `  `// Driver Function ` `int` `main() ` `{ ` `    ``int` `N = 4; ` ` `  `    ``cout << nthTerm(N); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program to find the N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` `import` `java.util.*; ` ` `  `class` `solution ` `{ ` ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` ` `  `    ``//return the final sum ` `    ``return` `(``int``)Math.pow(n, ``2``) + ``2` `* n + ``2``; ` `} ` ` `  `// Driver Function ` `public` `static` `void` `main(String arr[]) ` `{ ` `    ``int` `N = ``4``; ` ` `  `    ``System.out.println(nthTerm(N)); ` ` `  `} ` ` `  `} ` `//This code is contributed by Surendra_Gangwar `

## Python3

 `# Python3 program to find the N-th  ` `# term of the series:  ` `# 5, 10, 17, 26, 37, 50, 65, 82, ...  ` ` `  `# from math lib. import everything ` `from` `math ``import` `*` ` `  `# calculate Nth term of series  ` `def` `nthTerm(n) : ` `     `  `    ``return` `pow``(n, ``2``) ``+` `2` `*` `n ``+` `2` `     `  `# Driver code      ` `if` `__name__ ``=``=` `"__main__"` `: ` ` `  `    ``N ``=` `4` `    ``print``(nthTerm(N)) ` ` `  `# This code is contributed by  ` `# ANKITRAI1 `

## C#

 `// C# program to find the  ` `// N-th term of the series: ` `// 5, 10, 17, 26, 37, 50, 65, 82, ... ` `using` `System;  ` ` `  `class` `GFG ` `{ ` ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` ` `  `    ``//return the final sum ` `    ``return` `(``int``)Math.Pow(n, 2) + ` `                    ``2 * n + 2; ` `} ` ` `  `// Driver Code ` `public` `static` `void` `Main() ` `{ ` `    ``int` `N = 4; ` ` `  `    ``Console.Write(nthTerm(N)); ` `} ` `} ` ` `  `// This code is contributed  ` `// by ChitraNayal `

## PHP

 `

Output:

```26
```

Time Complexity: O(1)

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