# Find Nth term of the series 0, 6, 0, 12, 0, 90…

• Last Updated : 10 Mar, 2021

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

0, 6, 0, 12, 0, 90…

Examples:

```Input : N = 4
Output : 12
For N = 4
Nth term = abs( 4 * ((4-1) * (4-3) * (4-5)) );
= 12
Input : N = 6
Output : 90```

We can generalize the Nth term of the above series as:

`Nth term = abs( N * ((N-1) * (N-3) * (N-5)) )`

Below is the implementation of the above approach:

## C++

 `// CPP program to find N-th term of the series``// 0, 6, 0, 12, 0, 90...` `#include ``using` `namespace` `std;` `// Function to return the Nth term``int` `nthTerm(``int` `N)``{``    ``return` `abs``(N * ((N - 1) * (N - 3) * (N - 5)));``}` `// Driver code``int` `main()``{``    ``int` `N = 6;` `    ``cout << nthTerm(N);` `    ``return` `0;``}`

## Java

 `// Java program to find N-th term of the series``// 0, 6, 0, 12, 0, 90...` `import` `java.io.*;``import` `java.lang.*;` `class` `GFG {``    ``// Function to calculate Nth term of``    ``// the series``    ``public` `static` `int` `nthTerm(``int` `N)``    ``{``        ``// By using above formula``        ``return` `Math.abs(N * ((N - ``1``) * (N - ``3``) * (N - ``5``)));``    ``}``    ` `    ``// Driver code``    ``public` `static` `void` `main(String[] args)``    ``{``        ``int` `N = ``6``; ``// Nth term is 6``       ` `        ``System.out.println(nthTerm(N));``    ``}``}`

## Python3

 `# Python3 program to find N-th``# term of the series``# 0, 6, 0, 12, 0, 90...` `# Function to return the Nth term``def` `nthTerm(N) :` `    ``return` `(``abs``(N ``*` `((N ``-` `1``) ``*` `(N ``-` `3``)``           ``*` `(N ``-` `5``))))` `# Driver code    ``if` `__name__ ``=``=` `"__main__"` `:` `    ``N ``=` `6` `    ``# Function calling``    ``print``(nthTerm(N))`  `# This code is contributed by``# ANKITRAI1`

## C#

 `// C# program to find N-th term of the series``// 0, 6, 0, 12, 0, 90...` `using` `System;` `class` `GFG {``    ``// Function to calculate Nth term of``    ``// the series``    ``public` `static` `int` `nthTerm(``int` `N)``    ``{``        ``// By using above formula``        ``return` `Math.Abs(N * ((N - 1) * (N - 3) * (N - 5)));``    ``}``    ` `    ``// Driver code``    ``public` `static` `void` `Main()``    ``{``        ``int` `N = 6; ``// Nth term is 6``        ` `        ``Console.WriteLine(nthTerm(N));``    ``}``}``// This code is contributed by anuj_67.`

## PHP

 ``

## Javascript

 ``
Output:
`90`

Time Complexity: O(1)

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