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 <iostream> ` `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

`<?php ` `// PHP program 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 ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `(` `$n` `* ` `$n` `) + (` `$n` `* ` `$n` `* ` `$n` `); ` `} ` ` ` `// driver code ` `$n` `= 4; ` `echo` `(nthTerm(` `$n` `)); ` ` ` `// This code is contributed by Ajit. ` `?> ` |

**Output :**

80

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