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

• Difficulty Level : Easy
• Last Updated : 17 Feb, 2023

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

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## 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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