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

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 <iostream> ` `#include <math.h> ` `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; ` `} ` |

*chevron_right*

*filter_none*

## 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.. ` |

*chevron_right*

*filter_none*

## 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 ` |

*chevron_right*

*filter_none*

## 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 ` |

*chevron_right*

*filter_none*

## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series: ` `// 0, 7, 18, 33, 51, 75, 102,... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `2 * pow(` `$n` `, 2) + ` `$n` `- 3; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `) + ` `"\n"` `; ` ` ` `// This code is contributed ` `// by Akanksha Rai(Abby_akku) ` `?> ` |

*chevron_right*

*filter_none*

**Output:**

33

**Time Complexity:** O(1)

## Recommended Posts:

- Program to find Nth term of series 3, 12, 29, 54, 86, 128, 177, 234, .....
- Program to find Nth term in the given Series
- Program to find Nth term in the series 0, 2, 1, 3, 1, 5, 2, 7, 3,…
- Program to find Nth term of series 1, 6, 17, 34, 56, 86, 121, 162, .......
- Program to find N-th term of series 3, 5, 33, 35, 53....
- Program to find Nth term of series 0, 9, 22, 39, 60, 85, 114, 147, .....
- Program to find Nth term of the series 3, 6, 18, 24, ...
- Program to find Nth term of the series 2, 4, 3, 4, 15...
- Program to find the Nth term of the series 0, 3/1, 8/3, 15/5........
- Program to find N-th term of series 1, 2, 11, 12, 21….
- Program to find the Nth term of series 5, 12, 21, 32, 45......
- Program to find the nth term of the series -2, 4, -6, 8....
- Program to find nth term of the series 1 4 15 24 45 60 92
- Program to find Nth term of series 9, 23, 45, 75, 113...
- Program to find Nth term in the series 0, 0, 2, 1, 4, 2, 6, 3, 8,...

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.