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) ` |

**Output:**

51

**Time Complexity:** O(1)

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