# Find the nth term of the series 0, 8, 64, 216, 512, . . .

Given an integer **N**, the task is to find the **N ^{th}** term of the following series:

0, 8, 64, 216, 512, 1000, 1728, . . .

**Examples:**

Input:N = 6

Output:1000

Input:N = 5

Output:512

**Approach:**

- Given series
**0, 8, 64, 216, 512, 1000, 1728, …**can also be written as**0 * (0**^{2}), 2 * (2^{2}), 4 * (4^{2}), 6 * (6^{2}), 8 * (8^{2}), 10 * (10^{2}), … - Observe that
**0, 2, 4, 6, 10, …**is in**AP**and the**nth term**of this series can be found using the formula**term = a**where_{1}+ (n – 1) * d**a**is the_{1}**first term**,**n**is the**term position**and**d**is the**common difference**. - To get the term in the original series,
**term = term * (term**i.e.^{2})**term**.^{3} - Finally print the
**term**.

Below is the implementation of the above approach:

## C++

`// C++ implementation of the approach ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Function to return the nth term of the given series ` `long` `term(` `int` `n) ` `{ ` ` ` `// Common difference ` ` ` `int` `d = 2; ` ` ` ` ` `// First term ` ` ` `int` `a1 = 0; ` ` ` ` ` `// nth term ` ` ` `int` `An = a1 + (n - 1) * d; ` ` ` ` ` `// nth term of the given series ` ` ` `An = ` `pow` `(An, 3); ` ` ` `return` `An; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `n = 5; ` ` ` ` ` `cout << term(n); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java implementation of the approach ` `import` `java.util.*; ` `import` `java.lang.*; ` `import` `java.io.*; ` ` ` `public` `class` `GFG { ` ` ` ` ` `// Function to return the nth term of the given series ` ` ` `static` `int` `nthTerm(` `int` `n) ` ` ` `{ ` ` ` ` ` `// Common difference and first term ` ` ` `int` `d = ` `2` `, a1 = ` `0` `; ` ` ` ` ` `// nth term ` ` ` `int` `An = a1 + (n - ` `1` `) * d; ` ` ` ` ` `// nth term of the given series ` ` ` `return` `(` `int` `)Math.pow(An, ` `3` `); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` `int` `n = ` `5` `; ` ` ` `System.out.println(nthTerm(n)); ` ` ` `} ` `} ` |

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## Python3

`# Python3 implementation of the approach ` ` ` `# Function to return the nth term of the given series ` `def` `term(n): ` ` ` ` ` `# Common difference ` ` ` `d ` `=` `2` ` ` ` ` `# First term ` ` ` `a1 ` `=` `0` ` ` ` ` `# nth term ` ` ` `An ` `=` `a1 ` `+` `(n` `-` `1` `)` `*` `d ` ` ` ` ` `# nth term of the given series ` ` ` `An ` `=` `An` `*` `*` `3` ` ` `return` `An; ` ` ` ` ` `# Driver code ` `n ` `=` `5` `print` `(term(n)) ` |

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## C#

`// C# implementation of the approach ` `using` `System; ` `public` `class` `GFG { ` ` ` ` ` `// Function to return the nth term of the given series ` ` ` `static` `int` `nthTerm(` `int` `n) ` ` ` `{ ` ` ` ` ` `// Common difference and first term ` ` ` `int` `d = 2, a1 = 0; ` ` ` ` ` `// nth term ` ` ` `int` `An = a1 + (n - 1) * d; ` ` ` ` ` `// nth term of the given series ` ` ` `return` `(` `int` `)Math.Pow(An, 3); ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `Main() ` ` ` `{ ` ` ` `int` `n = 5; ` ` ` `Console. WriteLine(nthTerm(n)); ` ` ` `} ` `} ` `// This code is contributed by Mutual singh. ` |

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## PHP

`<?php ` `// PHP implementation of the approach ` ` ` `// Function to return the nth term of the given series ` `function` `term(` `$n` `) ` `{ ` ` ` ` ` `// Common difference ` ` ` `$d` `= 2; ` ` ` ` ` `// First term ` ` ` `$a1` `= 0; ` ` ` ` ` `// nth term ` ` ` `$An` `=` `$a1` `+(` `$n` `-1)*` `$d` `; ` ` ` ` ` `// nth term of the given series ` ` ` `return` `pow(` `$An` `, 3); ` ` ` `} ` ` ` `// Driver code ` `$n` `= 5; ` `echo` `term(` `$n` `); ` `?> ` |

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**Output:**

512

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