# Find n-th term of series 2, 10, 30, 68, 130 …

Given a series 2, 10, 30, 68, 130 … Identify the pattern in the series and find the nth value in the series. Indices are starting from 1 . 1 <= n <= 200

Examples:

Input : n = 12 Output : 1740 Input : n = 200 Output : 8000200

If observed carefully, pattern of the series can be noticed as n^3 + n.

Below is the implementation of above approach:

## C++

`// C++ program to find n-th value ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Function to find nth term ` `int` `findValueAtX(` `int` `n) ` `{ ` ` ` `return` `(n * n * n) + n; ` `} ` ` ` `// drivers code ` `int` `main() ` `{ ` ` ` `cout << findValueAtX(10) << endl; ` ` ` `cout << findValueAtX(2) << endl; ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find n-th value ` `import` `java.io.*; ` ` ` `class` `GFG { ` ` ` ` ` `// Function to find nth term ` ` ` `static` `int` `findValueAtX(` `int` `n) ` ` ` `{ ` ` ` `return` `(n * n * n) + n; ` ` ` `} ` ` ` ` ` `// driver code ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` `System.out.println(findValueAtX(` `10` `)); ` ` ` `System.out.println(findValueAtX(` `2` `)); ` ` ` `} ` `} ` ` ` `// This code is contributed by vt_m. ` |

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## Python3

`# Python3 program to find n-th value ` ` ` `# Function to find nth term ` `def` `findValueAtX(n): ` ` ` `return` `(n ` `*` `n ` `*` `n) ` `+` `n ` ` ` `# Driver Code ` `print` `(findValueAtX(` `10` `)) ` `print` `(findValueAtX(` `2` `)) ` ` ` `# This code is contributed by Azkia Anam. ` |

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## C#

`// C# program to find n-th value ` `using` `System; ` ` ` `class` `GFG { ` ` ` ` ` `// Function to find nth term ` ` ` `static` `int` `findValueAtX(` `int` `n) ` ` ` `{ ` ` ` `return` `(n * n * n) + n; ` ` ` `} ` ` ` ` ` `// driver code ` ` ` `public` `static` `void` `Main() ` ` ` `{ ` ` ` `Console.WriteLine(findValueAtX(10)); ` ` ` `Console.WriteLine(findValueAtX(2)); ` ` ` `} ` `} ` |

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## PHP

`<?php ` `// PHP program to ` `// find n-th value ` ` ` `// Function to find nth term ` `function` `findValueAtX(` `$n` `) ` `{ ` ` ` `return` `(` `$n` `* ` `$n` `* ` `$n` `) + ` `$n` `; ` `} ` ` ` ` ` `// Driver Code ` ` ` `echo` `findValueAtX(10),` `"\n"` `; ` ` ` `echo` `findValueAtX(2); ` ` ` `// This code is contributed by anuj_67. ` `?> ` |

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Output:

1010 10

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