# Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, …..

• Last Updated : 07 Aug, 2022

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

2, 12, 28, 50, 77, 112, 152, 198…..(N Terms)

Examples:

```Input: N = 4
Output: 50
For N = 4
4th Term = ( 3 * 4 * 4 + 4 - 2)
= 50

Input: N = 10
Output: 307```

Approach: The generalized Nth term of this series:

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Below is the required implementation:

## C++

 `// C++ program to find the N-th term of the series:``// 2, 12, 28, 50, 77, 112, 152, 198, .....``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `3 * ``pow``(n, 2) + n - 2;``}` `// 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:``// 2, 12, 28, 50, 77, 112, 152, 198, .....``import` `java.util.*;` `class` `solution``{` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``return` `3` `*(``int``)Math.pow(n, ``2``) + n - ``2``;``}` `//Driver program``public` `static` `void` `main(String arr[])``{``    ` `    ``int` `N = ``4``;``    ``System.out.println(nthTerm(N));``}` `}``//This code is contributed by Surendra_Gangwar`

## Python3

 `# Python3 program to find the``# N-th term of the series:``# 2, 12, 28, 50, 77, 112, 152, 198, .....` `# calculate Nth term of series``def` `nthTerm(n):` `    ``return` `3` `*` `pow``(n, ``2``) ``+` `n ``-` `2` `# 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:``// 2, 12, 28, 50, 77, 112, 152, 198, .....``using` `System;` `class` `GFG``{` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `3 * (``int``)Math.Pow(n, 2) +``                             ``n - 2;``}` `// Driver Code``public` `static` `void` `Main()``{``    ``int` `N = 4;``    ``Console.Write(nthTerm(N));``}``}` `// This code is contributed``// by ChitraNayal`

## PHP

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## Javascript

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Output:

`50`

Time Complexity: O(1)

Auxiliary Space: O(1) since using constant variables

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