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

2, 4, 3, 4, 15...

**Examples:**

Input:N = 5Output:15Explanation:For N = 5, Nth term = ( N * ( (N%2) + (N%3) ) = ( 5 * ( (5%2) + (5%3) ) = ( 5 * ( 1 + 2 ) = 15Input:N = 4Output:4

**Generalized Nth term of this series:**

Nth term = ( N * ( (N%2) + (N%3) ) )

Below is the implementation of the above approach:

## C++

`// CPP program to find N-th term of the series: ` `// 2, 4, 3, 4, 15... ` ` ` `#include <iostream> ` `using` `namespace` `std; ` ` ` `// function to calculate Nth term of series ` `int` `nthTerm(` `int` `N) ` `{ ` ` ` `// By using above formula ` ` ` `return` `(N * ((N % 2) + (N % 3))); ` `} ` ` ` `// Driver Function ` `int` `main() ` `{ ` ` ` ` ` `// get the value of N ` ` ` `int` `N = 5; ` ` ` ` ` `// Calculate and print the Nth term ` ` ` `cout << ` `"Nth term for N = "` ` ` `<< N << ` `" : "` ` ` `<< nthTerm(N); ` ` ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

## Java

`import` `java.io.*; ` ` ` `// Class to calculate Nth term of series ` `class` `Nth { ` ` ` `public` `int` `nthTerm(` `int` `N) ` ` ` `{ ` ` ` `// By using above formula ` ` ` `return` `(N * ((N % ` `2` `) + (N % ` `3` `))); ` ` ` `} ` `} ` ` ` `// Main class for main method ` `class` `GFG { ` ` ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` ` ` `// get the value of N ` ` ` `int` `N = ` `5` `; ` ` ` ` ` `// create object of Class Nth ` ` ` `Nth a = ` `new` `Nth(); ` ` ` ` ` `// Calculate and print the Nth term ` ` ` `System.out.println(` `"Nth term for N = "` ` ` `+ N + ` `" : "` ` ` `+ a.nthTerm(N)); ` ` ` `} ` `} ` |

*chevron_right*

*filter_none*

## Python3

`# Python3 program to find N-th term of the series: ` `# 2, 4, 3, 4, 15... ` ` ` ` ` ` ` `# function to calculate Nth term of series ` `def` `nthTerm( N): ` ` ` ` ` `# By using above formula ` ` ` `return` `(N ` `*` `((N ` `%` `2` `) ` `+` `(N ` `%` `3` `))) ` ` ` ` ` `# Driver Function ` ` ` ` ` `# get the value of N ` `if` `__name__` `=` `=` `'__main__'` `: ` ` ` `N ` `=` `5` ` ` ` ` `# Calculate and print the Nth term ` ` ` `print` `(` `"Nth term for N = "` `, N , ` `" : "` `,nthTerm(N)) ` ` ` `# This code is contributed by ash264 ` |

*chevron_right*

*filter_none*

## C#

`// C# program to find ` `// N-th term of the series: ` `// 2, 4, 3, 4, 15... ` `using` `System; ` ` ` `class` `GFG ` `{ ` `public` `int` `nthTerm(` `int` `N) ` `{ ` ` ` `// By using above formula ` ` ` `return` `(N * ((N % 2) + (N % 3))); ` `} ` ` ` `public` `static` `void` `Main() ` `{ ` ` ` ` ` `// get the value of N ` ` ` `int` `N = 5; ` ` ` ` ` `GFG a = ` `new` `GFG(); ` ` ` ` ` `// Calculate and print the Nth term ` ` ` `Console.Write(` `"Nth term for N = "` `+ ` ` ` `N + ` `" : "` `+ ` ` ` `a.nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed ` `// by ChitraNayal ` |

*chevron_right*

*filter_none*

## PHP

`<?php ` `// PHP program to find ` `// N-th term of the series: ` `// 2, 4, 3, 4, 15... ` ` ` `function` `nthTerm(` `$N` `) ` `{ ` ` ` `return` `(` `$N` `* ((` `$N` `% 2) + (` `$N` `% 3))); ` `} ` ` ` `// Driver code ` `$N` `= 5 ; ` ` ` `echo` `"Nth term for N = "` `. ` `$N` `. ` ` ` `" : "` `. nthTerm(` `$N` `) ; ` ` ` `// This code is contributed by ANKITRAI1 ` `?> ` |

*chevron_right*

*filter_none*

**Output:**

Nth term for N = 5 : 15

**Time Complexity**: O(1)

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.

## Recommended Posts:

- Program to find N-th term of series 1, 2, 11, 12, 21….
- Program to find the Nth term of the series 0, 14, 40, 78, 124, ...
- Program to find the Nth term of series 5, 12, 21, 32, 45......
- Program to find nth term of the series 1 4 15 24 45 60 92
- Program to find the Nth term of the series 0, 5, 14, 27, 44, ........
- Program to find the Nth term of the series 3, 7, 13, 21, 31.....
- Program to find Nth term of series 7, 21, 49, 91, 147, 217, ......
- Program to find the Nth term of series -1, 2, 11, 26, 47......
- Program to find Nth term in the series 0, 2, 1, 3, 1, 5, 2, 7, 3,…
- Program to find the nth term of the series -2, 4, -6, 8....
- Program to find Nth term of series 9, 23, 45, 75, 113...
- Program to find Nth term in the series 0, 0, 2, 1, 4, 2, 6, 3, 8,...
- Program to find N-th term of the series a, b, b, c, c, c,.......
- Program to find the Nth term of series 5, 10, 17, 26, 37, 50, 65, 82, ...
- Program to find the Nth term of series 0, 4, 14, 30, 51, 80, 114, 154, 200, ...
- Program to find the Nth term of the series 3, 20, 63, 144, 230, ……
- Program to find the Nth term of the series 0, 3/1, 8/3, 15/5........
- Program to find Nth term in the given Series
- Program to find Nth term of series 0, 10, 30, 60, 99, 150, 210, 280...........
- Program to find Nth term of the series 3, 6, 18, 24, ...

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.