# Program to find the Nth term of the series 0, 5, 18, 39, 67, 105, 150, 203, …

• Last Updated : 28 Jul, 2022

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

0, 5, 18, 39, 67, 105, 150, 203, …(N Terms)

Examples:

```Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 * 4 - 7 * 4 + 3)
= 39

Input: N = 10
Output: 332```

Approach: The generalized Nth term of this series:

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Below is the required implementation:

## C++

 `// CPP program to find the N-th term of the series:``// 0, 5, 18, 39, 67, 105, 150, 203, ...``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `4 * ``pow``(n, 2) - 7 * n + 3;``}` `// Driver code``int` `main()``{``    ``int` `N = 4;` `    ``cout << nthTerm(N);` `    ``return` `0;``}`

## Java

 `// Java program to find the N-th term of the series:``// 0, 5, 18, 39, 67, 105, 150, 203,` `import` `java.util.*;``import` `java.lang.*;``import` `java.io.*;` `class` `GFG``{``// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `4` `* (``int``)Math.pow(n, ``2``) - ``7` `* n + ``3``;``}``  ` `// Driver code``public` `static` `void`  `main(String args[])``{``    ``int` `N = ``4``;``  ` `    ``System.out.print(nthTerm(N));``}``}`

## Python 3

 `# Python 3 program to find the``# N-th term of the series:``# 0, 5, 18, 39, 67, 105, 150, 203, ...` `# calculate Nth term of series``def` `nthTerm(n):` `    ``return` `4` `*` `pow``(n, ``2``) ``-` `7` `*` `n ``+` `3` `# Driver code``N ``=` `4` `print``(nthTerm(N))` `# This code is contributed by ash264`

## C#

 `// C# program to find the``// N-th term of the series:``// 0, 5, 18, 39, 67, 105, 150, 203,``using` `System;` `class` `GFG``{``// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `4 * (``int``)Math.Pow(n, 2) -``                        ``7 * n + 3;``}` `// Driver code``static` `public` `void` `Main ()``{``    ``int` `N = 4;` `    ``Console.Write(nthTerm(N));``}``}` `// This code is contributed by Raj`

## PHP

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## Javascript

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Output:

`39`

Time Complexity: O(1)

Space Complexity: O(1) since using constant variables

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