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

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:

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 <iostream>` `#include <math.h>` `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

`<?php` `// PHP program to find the` `// N-th term of the series:` `// 0, 5, 18, 39, 67, 105, 150, 203, ...` `// calculate Nth term of series` `function` `nthTerm(` `$n` `)` `{` ` ` `return` `4 * pow(` `$n` `, 2) -` ` ` `7 * ` `$n` `+ 3;` `}` `// Driver code` `$N` `= 4;` `echo` `nthTerm(` `$N` `);` `// This code is contributed` `// by Akanksha Rai(Abby_akku)` `?>` |

## Javascript

`<script>` `// JavaScript program to find the N-th term of the series:` `// 0, 5, 18, 39, 67, 105, 150, 203, ...` `// calculate Nth term of series` `function` `nthTerm( n)` `{` ` ` `return` `4 * Math.pow(n, 2) - 7 * n + 3;` `}` `// driver code` ` ` `// declaration of number of terms` ` ` `let N = 4;` ` ` `document.write( nthTerm(N) );` `// This code contributed by gauravrajput1` `</script>` |

**Output:**

39

**Time Complexity:** O(1)

**Space Complexity**: O(1) since using constant variables