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

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

```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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: ` `// 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

 ` `

Output:

```50
```

Time Complexity: O(1)

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