# Program to find Nth term of the series 2, 4, 3, 4, 15…

• Last Updated : 04 Aug, 2022

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

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

Examples:

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

## 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));``    ``}``}`

## 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`

## 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`

## PHP

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## Javascript

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Output:

`Nth term for N = 5 : 15`

Time Complexity: O(1)

Auxiliary Space: O(1) because using constant variables

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