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

• Difficulty Level : Easy
• Last Updated : 10 Jun, 2022

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

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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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