# n-th term in series 2, 12, 36, 80, 150….

Given a series 2, 12, 36, 80, 150.. Find the n-th term of the series.
Examples :

```Input : 2
Output : 12

Input : 4
Output : 80 ```

If we take a closer look, we can notice that series is sum of squares and cubes of natural numbers (1, 4, 9, 16, 25, …..) + (1, 8, 27, 64, 125, ….).
Therefore n-th number of the series is n^2 + n^3

## C++

 `// CPP program to find n-th term of ``// the series  2, 12, 36, 80, 150, .. ``#include ``using` `namespace` `std; `` ` `// Returns n-th term of the series ``// 2, 12, 36, 80, 150 ``int` `nthTerm(``int` `n) ``{ ``    ``return` `(n * n) + (n * n * n); ``} `` ` `// driver code ``int` `main() ``{ ``    ``int` `n = 4; ``    ``cout << nthTerm(n); ``    ``return` `0; ``} `

## Java

 `//java program to find n-th term of ``// the series 2, 12, 36, 80, 150, .. ``import` `java.util.*; `` ` `class` `GFG ``{ ``    ``// Returns n-th term of the series ``    ``// 2, 12, 36, 80, 150 ``    ``public` `static` `int` `nthTerm(``int` `n) ``    ``{ ``        ``return` `(n * n) + (n * n * n); ``    ``} ``     ` `    ``// Driver code  ``    ``public` `static` `void` `main(String[] args) ``    ``{ ``        ``int` `n = ``4``; ``        ``System.out.print(nthTerm(n)); ``    ``} ``} `` ` `// This code is contributed by rishabh_jain `

## Python3

 `# Python3 code to find n-th term of ``# the series 2, 12, 36, 80, 150, .. `` ` `# Returns n-th term of the series ``# 2, 12, 36, 80, 150 ``def` `nthTerm( n ): ``    ``return` `(n ``*` `n) ``+` `(n ``*` `n ``*` `n) `` ` `# driver code ``n ``=` `4``print``( nthTerm(n)) `` ` `# This code is contributed  ``# by "Sharad_Bhardwaj". `

## C#

 `// C# program to find n-th term of ``// the series 2, 12, 36, 80, 150, .. ``using` `System; `` ` `class` `GFG ``{ ``    ``// Returns n-th term of the series ``    ``// 2, 12, 36, 80, 150 ``    ``public` `static` `int` `nthTerm(``int` `n) ``    ``{ ``        ``return` `(n * n) + (n * n * n); ``    ``} ``     ` `    ``// Driver code  ``    ``public` `static` `void` `Main() ``    ``{ ``        ``int` `n = 4; ``        ``Console.WriteLine(nthTerm(n)); ``    ``} ``} `` ` `// This code is contributed by vt_m. `

## PHP

 ` `

## Javascript

 ``

Output :

`80`

Time complexity: O(1) as only single step is required to calculate nth term from given formula

Auxiliary Space: O(1)

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