# 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

**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 <iostream> ` `#include <math.h> ` `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; ` `} ` |

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## 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 ` |

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## 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 ` |

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## 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.. ` |

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## PHP

`<?php ` `// PHP program to find ` `// the N-th term of the series: ` `// 5, 12, 21, 32, 45...... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `pow(` `$n` `, 2) + 4 * ` `$n` `; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `// Get the Nth term ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed ` `// by Mahadev99 ` `?> ` |

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**Output:**

32

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