# Program to find the Nth term of series 5, 12, 21, 32, 45……

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

5, 12, 21, 32, 45……

Examples:

```Input: N = 2
Output: 12

Input: N = 5
Output: 45
```

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

Approach:
The generalized Nth term of this series:

Nth Term : n*n + 4*n

Below is the required implementation:

## C++

 `// CPP program to find ` `// the N-th term of the series: ` `// 5, 12, 21, 32, 45...... ` ` `  `#include ` `#include ` `using` `namespace` `std; ` ` `  `// calculate Nth term of series ` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `pow``(n, 2) + 4 * n; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` ` `  `    ``// Get N ` `    ``int` `N = 4; ` ` `  `    ``// Get the Nth term ` `    ``cout << nthTerm(N) << endl; ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java  program to find ` `// the N-th term of the series: ` `// 5, 12, 21, 32, 45...... ` `import` `java.io.*; ` ` `  `class` `GFG { ` `     `  ` `  ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `(``int``)Math.pow(n, ``2``) + ``4` `* n; ` `} ` ` `  `// Driver code ` ` `  `    ``public` `static` `void` `main (String[] args) { ` `     `  `    ``// Get N ` `    ``int` `N = ``4``; ` ` `  `    ``// Get the Nth term ` `    ``System.out.println( nthTerm(N)); ` ` `  `    ``} ` `} ` `// This code is contributed ` `// by  inder_verma `

## Python3

 `# Python3 program to find ` `# the N-th term of the series: ` `# 5, 12, 21, 32, 45...... ` ` `  `# calculate Nth term of series ` `def` `nthTerm(n): ` `    ``return` `n ``*``*` `2` `+` `4` `*` `n; ` ` `  `# Driver code ` ` `  `# Get N ` `N ``=` `4` ` `  `# Get the Nth term ` `print``(nthTerm(N)) ` ` `  `# This code is contributed by Raj `

## C#

 `// C# program to find the  ` `// N-th term of the series: ` `// 5, 12, 21, 32, 45...... ` `using` `System; ` ` `  `class` `GFG ` `{ ` `     `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `(``int``)Math.Pow(n, 2) + 4 * n; ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main ()  ` `{ ` ` `  `    ``// Get N ` `    ``int` `N = 4; ` `     `  `    ``// Get the Nth term ` `    ``Console.WriteLine(nthTerm(N)); ` `} ` `} ` ` `  `// This code is contributed ` `// by sh.. `

## PHP

 ` `

Output:

```32
```

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.

My Personal Notes arrow_drop_up Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Improved By : Mahadev99, inderDuMCA, vt_m, R_Raj