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# Program to find Nth term of series 0, 7, 18, 33, 51, 75, 102, 133, …..

• Last Updated : 15 Mar, 2021

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

0, 7, 18, 33, 51, 75, 102, 133, …(N Terms)

Examples:

```Input: N = 4
Output: 33
For N = 4
4th Term = ( 2 * 4 * 4 + 4 - 3)
= 33

Input: N = 10
Output: 206```

Approach: The generalized Nth term of this series:

` `

Below is the required implementation:

## C++

 `// C++ program to find the N-th term of the series:``// 0, 7, 18, 33, 51, 75, 102, .....``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `2 * ``pow``(n, 2) + n - 3;``}` `// Driver code``int` `main()``{``    ``int` `N = 4;` `    ``cout << nthTerm(N) << endl;` `    ``return` `0;``}`

## Java

 `// Java program to find the N-th term of the series:``// 0, 7, 18, 33, 51, 75, 102, .....` `import` `java.io.*;` `class` `GFG {`` `  `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `2` `* (``int``)Math.pow(n, ``2``) + n - ``3``;``}` `// Driver code` `    ``public` `static` `void` `main (String[] args) {``            ``int` `N = ``4``;` `    ``System.out.println( nthTerm(N));``    ``}``}``// This code is contributed``// by anuj_67..`

## Python3

 `# Python3 program to find the``# N-th term of the series:``# 0, 7, 18, 33, 51, 75, 102, .....` `# calculate Nth term of series``def` `nthTerm(n):` `    ``return` `2` `*` `pow``(n, ``2``) ``+` `n ``-` `3` `# Driver code``N ``=` `4``print``(nthTerm(N))` `# This code is contributed by``# Sanjit_Prasad`

## C#

 `// C# program to find the``// N-th term of the series:``// 0, 7, 18, 33, 51, 75, 102, .....``using` `System;` `class` `GFG``{` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `2 * (``int``)Math.Pow(n, 2) + n - 3;``}` `// Driver code``public` `static` `void` `Main ()``{``    ``int` `N = 4;` `    ``Console.Write( nthTerm(N));``}``}` `// This code is contributed``// by ChitraNayal`

## PHP

 ``

## Javascript

 ``
Output:
`33`

Time Complexity: O(1)

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