# Find the Nth term of the series 9, 45, 243,1377

Given an integer N, the task is to print the Nth term of the series 9, 45, 243, 1377, 8019, …

Examples:

Input: N = 3
Output: 243

Input: N = 5
Output: 8019

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

Approach: Let the Nth term be An, we can get the Nth term easily by observing the series:

9, 45, 243, 1377, 8019, …
(11 + 21) * 31, (12 + 22) * 32, (13 + 23) * 33, (14 + 24) * 34, …, (1n + 2n) * 3n
So, An = (1n + 2n) * 3n

Below is the implementation of the above approach:

## CPP

 `// C++ implementation of the approach ` `#include ` `using` `namespace` `std; ` ` `  `// Function to return the nth term of the given series ` `long` `nthterm(``int` `n) ` `{ ` ` `  `    ``// nth term ` `    ``int` `An = (``pow``(1, n) + ``pow``(2, n)) * ``pow``(3, n); ` ` `  `    ``return` `An; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `n = 3; ` ` `  `    ``cout << nthterm(n); ` ` `  `    ``return` `0; ` `} `

## Python

 `# Python3 implementation of the approach  ` `  `  `# Function to return the nth term of the given series  ` `def` `nthterm(n):  ` `  `  `    ``# nth term  ` `    ``An ``=` `(``1``*``*``n ``+` `2``*``*``n) ``*` `(``3``*``*``n) ` `  `  `    ``return` `An;  ` `  `  `  `  `# Driver code  ` `n ``=` `3` `print``(nthterm(n))  `

## Java

 `// Java implementation of the approach ` `import` `java.util.*; ` `import` `java.lang.*; ` `import` `java.io.*; ` ` `  `public` `class` `GFG { ` ` `  `    ``// Function to return the nth term of the given series ` `    ``static` `int` `nthTerm(``int` `n) ` `    ``{ ` `        ``int` `An ` `            ``= ((``int``)Math.pow(``1``, n) + (``int``)Math.pow(``2``, n)) ` `              ``* (``int``)Math.pow(``3``, n); ` ` `  `        ``return` `An; ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``int` `n = ``3``; ` `        ``System.out.println(nthTerm(n)); ` `    ``} ` `} `

## C#

 `// C# implementation of the approach ` `using` `System; ` `public` `class` `GFG { ` ` `  `    ``// Function to return the nth term of the given series ` `    ``static` `int` `nthTerm(``int` `n) ` `    ``{ ` ` `  `        ``int` `An ` `            ``= ((``int``)Math.Pow(1, n) + (``int``)Math.Pow(2, n)) ` `              ``* (``int``)Math.Pow(3, n); ` ` `  `        ``return` `An; ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int` `n = 3; ` `        ``Console.WriteLine(nthTerm(n)); ` `    ``} ` `} `

## PHP

 `  `

Output:

```243
```

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