# Find Nth term of the series 1, 5, 32, 288 …

Given a number n, the task is to find the n-th term in series 1, 5, 32, 288 …

Examples:

```Input: N = 3
Output: 32
Explanation:
3rd term = 3^3 + 2^2 + 1^1
= 32

Input: N = 4
Output: 288
Explanation:
4th term = 4^4 + 3^3 + 2^2 + 1^1
= 288
```

Approach:

Nth term = n^n + (n-1)^(n-1) + (n-2)^(n-2) + ……..1^1.

Implementation of the above approach is given below:

## C++

 `// CPP code to generate  'Nth' terms ` `// of this sequence ` ` `  `#include ` `using` `namespace` `std; ` ` `  `// Function to generate a fixed \number ` `int` `nthTerm(``int` `N) ` `{ ` `    ``int` `nth = 0, i; ` ` `  `    ``// Finding nth term ` `    ``for` `(i = N; i > 0; i--) { ` ` `  `        ``nth += ``pow``(i, i); ` `    ``} ` `    ``return` `nth; ` `} ` ` `  `// Driver Method ` `int` `main() ` `{ ` `    ``int` `N = 3; ` `    ``cout << nthTerm(N) << endl; ` `    ``return` `0; ` `} `

## Java

 `// Java code to generate 'Nth' terms ` `// of this sequence ` `import` `java.lang.Math; ` `class` `GFG { ` ` `  `    ``// Function to generate a fixed \number ` `    ``public` `static` `int` `nthTerm(``int` `N) ` `    ``{ ` `        ``int` `nth = ``0``, i; ` ` `  `        ``// Finding nth term ` `        ``for` `(i = N; i > ``0``; i--) { ` ` `  `            ``nth += Math.pow(i, i); ` `        ``} ` `        ``return` `nth; ` `    ``} ` ` `  `    ``// Driver Method ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``int` `N = ``3``; ` `        ``System.out.println(nthTerm(N)); ` `    ``} ` `} ` `// This code is contributed by 29AjayKumar `

## Python3

 `# Python3 code to generate 'Nth'  ` `# terms of this sequence ` ` `  `# Function to generate a  ` `# fixed number ` `def` `nthTerm(N): ` `    ``nth ``=` `0` ` `  `    ``# Finding nth term ` `    ``for` `i ``in` `range``(N, ``0``, ``-``1``): ` `        ``nth ``+``=` `pow``(i, i) ` `    ``return` `nth ` ` `  `# Driver code ` `N ``=` `3` `print``(nthTerm(N)) ` ` `  `# This code is contributed ` `# by Shrikant13 `

## C#

 `// C# code to generate 'Nth' terms ` `// of this sequence ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `    ``// Function to generate a fixed \number ` `    ``public` `static` `int` `nthTerm(``int` `N) ` `    ``{ ` `        ``int` `nth = 0, i; ` ` `  `        ``// Finding nth term ` `        ``for` `(i = N; i > 0; i--)  ` `        ``{ ` `            ``nth +=(``int``)Math.Pow(i, i); ` `        ``} ` `        ``return` `nth; ` `    ``} ` ` `  `    ``// Driver Method ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int` `N = 3; ` `        ``Console.WriteLine(nthTerm(N)); ` `    ``} ` `} ` ` `  `// This code is contributed by Code_Mech. `

## PHP

 ` 0; ``\$i``--)  ` `    ``{ ` ` `  `        ``\$nth` `+= pow(``\$i``, ``\$i``); ` `    ``} ` `    ``return` `\$nth``; ` `} ` ` `  `// Driver Code ` `\$N` `= 3; ` `echo``(nthTerm(``\$N``)); ` ` `  `// This code is contributed by Code_Mech. ` `?> `

Output:

```32
```

Time Complexity: O(N)

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