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Program to find Nth term of series 0, 11, 28, 51, 79, 115, 156, 203, ….
• Last Updated : 10 Mar, 2021

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 ``#include ``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

 `

## Javascript

 ``
Output:
`51`

Time Complexity: O(1)

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