# Program to find Nth term of series 0, 11, 28, 51, 79, 115, 156, 203, ….

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

0, 11, 28, 51, 79, 115, 156, 203…..(N Terms)

**Examples:**

Input: N = 4 Output: 51 For N = 4 4th Term = ( 3 * 4 * 4 + 2 * 4 - 5) = 51 Input: N = 10 Output: 314

**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, 11, 28, 51, 79, 115, 156, 203.....` `#include <iostream>` `#include <math.h>` `using` `namespace` `std;` `// calculate Nth term of series` `int` `nthTerm(` `int` `n)` `{` ` ` `return` `3 * ` `pow` `(n, 2) + 2 * n - 5;` `}` `// 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, 11, 28, 51, 79, 115, 156, 203.....` `import` `java.io.*;` `class` `GFG` `{` `// calculate Nth term of series` `static` `int` `nthTerm(` `int` `n)` `{` ` ` `return` `3` `* (` `int` `) Math.pow(n, ` `2` `) +` ` ` `2` `* n - ` `5` `;` `}` `// 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, 11, 28, 51, 79, 115, 156, 203.....` `# calculate Nth term of series` `def` `nthTerm(n):` ` ` `return` `3` `*` `pow` `(n, ` `2` `) ` `+` `2` `*` `n ` `-` `5` `# 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, 11, 28, 51, 79, 115, 156, 203.....` `using` `System;` `class` `GFG` `{` `// calculate Nth term of series` `static` `int` `nthTerm(` `int` `n)` `{` ` ` `return` `3 * (` `int` `) Math.Pow(n, 2) +` ` ` `2 * n - 5;` `}` `// Driver code` `public` `static` `void` `Main ()` `{` ` ` `int` `N = 4;` ` ` `Console.WriteLine(nthTerm(N));` `}` `}` `// This code is contributed` `// by inder_verma` |

## PHP

`<?php` `// PHP program to find the` `// N-th term of the series:` `// 0, 11, 28, 51, 79, 115, 156, 203.....` `// calculate Nth term of series` `function` `nthTerm(` `$n` `)` `{` ` ` `return` `3 * pow(` `$n` `, 2) + 2 * ` `$n` `- 5;` `}` `// Driver code` `$N` `= 4;` `echo` `nthTerm(` `$N` `) . ` `"\n"` `;` `// This code is contributed` `// by Akanksha Rai(Abby_akku)` |

## Javascript

`<script>` `// JavaScript program to find the N-th term of the series:` `// 0, 11, 28, 51, 79, 115, 156, 203.....` `// calculate Nth term of series` `function` `nthTerm( n)` `{` ` ` `return` `3 * Math.pow(n, 2) + 2 * n - 5;` `}` `// Driver code` `let N = 4;` ` ` `document.write( nthTerm(N));` `// This code contributed by gauravrajput1` `</script>` |

**Output:**

51

**Time Complexity:** O(1), since there is no loop or recursion.

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