# Program to find the Nth term of the series 0, 3/1, 8/3, 15/5……..

Given a number N, the task is to find the Nth term of the following series.

0, 3/1, 8/3, 15/5……

Examples:

```Input:  n=4
Output: 15/5

Input: n=3
Output: 8/3
```

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

Approach: By clearly examining the series we can find the Tn term for the series and with the help of tn we can find the desired result.

Tn=0 + 3/1 +8/3 +15/5…….
We can see that here odd terms are negative and even terms are positive
Tn=((n2-1)/(2*n-3))

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 ` `void` `Nthterm(``int` `n) ` `{ ` ` `  `    ``// nth term ` `    ``int` `numerator = ``pow``(n, 2) - 1; ` `    ``int` `denomenator = 2 * n - 3; ` `    ``cout << numerator << ``"/"` `<< denomenator; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `n = 3; ` ` `  `    ``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   ` `    ``numerator ``=` `n``*``*``2``-``1` `    ``denomenator ``=` `2` `*` `n``-``3` `     `  `    ``print``(numerator, ``"/"``, denomenator) ` `    `  `    `  `# Driver code   ` `n ``=` `3` `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` `void` `NthTerm(``int` `n) ` `    ``{ ` `        ``int` `numerator ` `            ``= ((``int``)Math.pow(n, ``2``)) - ``1``; ` `        ``int` `denomeanator = ``2` `* n - ``3``; ` `        ``System.out.println(numerator + ``"/"` `+ denomeanator); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``int` `n = ``3``; ` `        ``NthTerm(n); ` `    ``} ` `} `

## C#

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

## PHP

 `    `

Output:

```8/3
```

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