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

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
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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

 ` `

Output:

```90
```

Time Complexity: O(1)

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Improved By : inderDuMCA, AnkitRai01