Program to find Nth term of series 0, 7, 18, 33, 51, 75, 102, 133, …..

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

0, 7, 18, 33, 51, 75, 102, 133, …(N Terms)

Examples:

```Input: N = 4
Output: 33
For N = 4
4th Term = ( 2 * 4 * 4 + 4 - 3)
= 33

Input: N = 10
Output: 206

```

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: ` `// 0, 7, 18, 33, 51, 75, 102, ..... ` `#include ` `#include ` `using` `namespace` `std; ` ` `  `// calculate Nth term of series ` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `2 * ``pow``(n, 2) + n - 3; ` `} ` ` `  `// 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, 7, 18, 33, 51, 75, 102, ..... ` ` `  `import` `java.io.*; ` ` `  `class` `GFG { ` `  `  ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `2` `* (``int``)Math.pow(n, ``2``) + n - ``3``; ` `} ` ` `  `// 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, 7, 18, 33, 51, 75, 102, ..... ` ` `  `# calculate Nth term of series ` `def` `nthTerm(n): ` ` `  `    ``return` `2` `*` `pow``(n, ``2``) ``+` `n ``-` `3` ` `  `# 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, 7, 18, 33, 51, 75, 102, ..... ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `2 * (``int``)Math.Pow(n, 2) + n - 3; ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main ()  ` `{ ` `    ``int` `N = 4; ` ` `  `    ``Console.Write( nthTerm(N)); ` `} ` `} ` ` `  `// This code is contributed  ` `// by ChitraNayal `

PHP

 ` `

Output:

```33
```

Time Complexity: O(1)

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