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

• Last Updated : 15 Mar, 2021

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```

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

 `  `

## Javascript

 ``
Output:
`8/3`

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