# Program to find Nth term of series 1, 3, 12, 60, 360…

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

1, 3, 12, 60, 360…

**Examples:**

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Input: 2 Output: 3 Input: 4 Output: 60

**Approach:** The idea is to first find the factorial of the number (N+1), that is **(N+1)!**

Now, the **N-th term** in the above series will be:

N-th term = (N+1)!/2

Below is the implementation of the above approach:

## C++

`// CPP program to find N-th term of the series:` `// 1, 3, 12, 60, 360…` `#include <iostream>` `using` `namespace` `std;` `// Function to find factorial of N` `int` `factorial(` `int` `N)` `{` ` ` `int` `fact = 1;` ` ` `for` `(` `int` `i = 1; i <= N; i++)` ` ` `fact = fact * i;` ` ` `// return factorial of N+1` ` ` `return` `fact;` `}` `// calculate Nth term of series` `int` `nthTerm(` `int` `N)` `{` ` ` `return` `(factorial(N + 1) / 2);` `}` `// Driver Function` `int` `main()` `{` ` ` `// Taking n as 6` ` ` `int` `N = 6;` ` ` `// Printing the nth term` ` ` `cout << nthTerm(N);` ` ` `return` `0;` `}` |

## Java

`// Java program to find N-th` `// term of the series:` `// 1, 3, 12, 60, 360` `import` `java.util.*;` `import` `java.lang.*;` `import` `java.io.*;` `class` `GFG {` ` ` `// Function to find factorial of N` ` ` `static` `int` `factorial(` `int` `N)` ` ` `{` ` ` `int` `fact = ` `1` `;` ` ` `for` `(` `int` `i = ` `1` `; i <= N; i++)` ` ` `fact = fact * i;` ` ` `// return factorial of N` ` ` `return` `fact;` ` ` `}` ` ` `// calculate Nth term of series` ` ` `static` `int` `nthTerm(` `int` `N)` ` ` `{` ` ` `return` `(factorial(N + ` `1` `) / ` `2` `);` ` ` `}` ` ` `// Driver Code` ` ` `public` `static` `void` `main(String args[])` ` ` `{` ` ` `// Taking n as 6` ` ` `int` `N = ` `6` `;` ` ` `// Printing the nth term` ` ` `System.out.println(nthTerm(N));` ` ` `}` `}` |

## Python3

`# Python 3 program to find` `# N-th term of the series:` `# 1, 3, 12, 60, 360…` `# Function for finding` `# factorial of N` `def` `factorial(N) :` ` ` `fact ` `=` `1` ` ` `for` `i ` `in` `range` `(` `1` `, N ` `+` `1` `) :` ` ` `fact ` `=` `fact ` `*` `i` ` ` `# return factorial of N` ` ` `return` `fact` `# Function for calculating` `# Nth term of series` `def` `nthTerm(N) :` ` ` `# return nth term` ` ` `return` `(factorial(N ` `+` `1` `) ` `/` `/` `2` `)` `# Driver code` `if` `__name__ ` `=` `=` `"__main__"` `:` ` ` ` ` `N ` `=` `6` ` ` `# Function Calling` ` ` `print` `(nthTerm(N))` |

## C#

`// C# program to find N-th` `// term of the series:` `// 1, 3, 12, 60, 360` `using` `System;` `class` `GFG` `{` ` ` `// Function to find factorial of N` `static` `int` `factorial(` `int` `N)` `{` ` ` `int` `fact = 1;` ` ` `for` `(` `int` `i = 1; i <= N; i++)` ` ` `fact = fact * i;` ` ` `// return factorial of N` ` ` `return` `fact;` `}` `// calculate Nth term of series` `static` `int` `nthTerm(` `int` `N)` `{` ` ` `return` `(factorial(N + 1) / 2);` `}` `// Driver Code` `static` `void` `Main()` `{` ` ` `int` `N = 6 ;` ` ` ` ` `// Printing the nth term` ` ` `Console.WriteLine(nthTerm(N));` `}` `}` `// This code is contributed` `// by ANKITRAI1` |

## PHP

`<?php` `// PHP program to find N-th term` `// of the series: 1, 3, 12, 60, 360…` `// Function to find factorial of N` `function` `factorial(` `$N` `)` `{` ` ` `$fact` `= 1;` ` ` `for` `(` `$i` `= 1; ` `$i` `<= ` `$N` `; ` `$i` `++)` ` ` `$fact` `= ` `$fact` `* ` `$i` `;` ` ` `// return factorial of N+1` ` ` `return` `$fact` `;` `}` `// calculate Nth term of series` `function` `nthTerm(` `$N` `)` `{` ` ` `return` `(factorial(` `$N` `+ 1) / 2);` `}` `// Driver Code` `// Taking n as 6` `$N` `= 6;` `// Printing the nth term` `echo` `nthTerm(` `$N` `);` `// This code is contributed` `// by chandan_jnu..` `?>` |

## Javascript

`<script>` `// JavaScript program to find N-th term of the series:` `// 1, 3, 12, 60, 360…` ` ` `// Function to find factorial of N` `function` `factorial(N)` `{` ` ` `let fact = 1;` ` ` ` ` `for` `(let i = 1; i <= N; i++)` ` ` `fact = fact * i;` ` ` ` ` `// return factorial of N+1` ` ` `return` `fact;` `}` ` ` `// calculate Nth term of series` `function` `nthTerm(N)` `{` ` ` `return` `(Math.floor(factorial(N + 1) / 2));` `}` ` ` `// Driver Function` ` ` `// Taking n as 6` ` ` `let N = 6;` ` ` ` ` `// Printing the nth term` ` ` `document.write(nthTerm(N));` ` ` ` ` `// This code is contributed by Surbhi Tyagi` `</script>` |

**Output:**

2520