# Program to find the Nth term of series -1, 2, 11, 26, 47……

Given a number N, the task is to find the Nth term of this series:

`-1, 2, 11, 26, 47, 74, .....`

Examples:

```Input: 3
Output: 11
Explanation:
when N = 3
Nth term = ( (3 * N * N) - (6 * N) + 2 )
= ( (3 * 3 * 3) - (6 * 3) + 2 )
= 11

Input: 9
Output: 191```

Approach:
The Nth term of the given series can be generalised as:

`Nth term of the series : ( (3 * N * N) - (6 * N) + 2 )`

Below is the implementation of the above problem:
Program:

## C++

 `// CPP program to find N-th term of the series:        ` `// 9, 23, 45, 75, 113, 159......          ` `       `  `#include ;` `using` `namespace` `std;    ` `// calculate Nth term of series    ` `int` `nthTerm(``int` `N)    ` `{    ` `    ``return` `((3 * N * N) - (6 * N) + 2);    ` `}    ` `     `  `// Driver Function    ` `int` `main()    ` `{    ` `     `  `    ``// Get the value of N    ` `    ``int` `N = 3;    ` `     `  `    ``// Find the Nth term    ` `    ``// and print it    ` `    ``cout << nthTerm(N);    ` `     `  `    ``return` `0;    ` `}`

## Java

 `// Java program to find N-th term of the series: ` `// 9, 23, 45, 75, 113, 159...... ` ` ``class` `GFG {` `    `  `    ``// calculate Nth term of series ` `    ``static` `int` `nthTerm(``int` `N) ` `    ``{ ` `        ``return` `((``3` `* N * N) - (``6` `* N) + ``2``); ` `    ``} ` `    `  `    ``// Driver code` `    ``public` `static` `void` `main(String[] args) {` `        ``int` `N = ``3``; ` `        `  `        ``// Find the Nth term ` `        ``// and print it ` `        ``System.out.println(nthTerm(N));` `    ``}` `}`   `// This code is contributed by bilal-hungund`

## Python3

 `# Python3 program to find N-th term ` `# of the series: ` `# 9, 23, 45, 75, 113, 159...... `   `def` `nthTerm(N): ` `    `  `    ``#calculate Nth term of series` `    ``return` `((``3` `*` `N ``*` `N) ``-` `(``6` `*` `N) ``+` `2``);`   `# Driver Code ` `if` `__name__``=``=``'__main__'``:` `    ``n ``=` `3`   `    ``#Find the Nth term ` `    ``# and print it ` `    ``print``(nthTerm(n)) `   `# this code is contributed by bilal-hungund`

## C#

 `// C# program to find N-th term of the series: ` `// 9, 23, 45, 75, 113, 159...... ` `using` `System;` `class` `GFG ` `{`   `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `N) ` `{ ` `    ``return` `((3 * N * N) - (6 * N) + 2); ` `} `   `// Driver code` `public` `static` `void` `Main()` `{` `    ``int` `N = 3; ` `    `  `    ``// Find the Nth term ` `    ``// and print it ` `    ``Console.WriteLine(nthTerm(N));` `}` `}`   `// This code is contributed by inder_verma`

## PHP

 ``

## Javascript

 ``

Output:

`11`

Time Complexity: O(1)

Space Complexity: O(1) since using constant variables

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