# Program to find the Nth term of the series 3, 20, 63, 144, 230, ……

Given a series and a number N. The task is to find the Nth term of the given series:

3, 20, 63, 144, 230 …..

Examples:

```Input: N = 4
Output: 144
When n = 4
nth term = 2 ( n * n * n ) + n * n
= 2 ( 4 * 4 * 4 ) + 4 * 4
= 144

Input: N = 10
Output: 2100
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: We can find the general term (Tn) of the given series.

Below is the required implementation:

## C++

 `// CPP program to find N-th term of the series: ` `// 3, 20, 63, 144, 230 ..... ` `#include ` `#include ` `using` `namespace` `std; ` ` `  `// calculate Nth term of series ` `int` `nthTerm(``int` `n) ` `{ ` `    ``return` `2 * ``pow``(n, 3) + ``pow``(n, 2); ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `N = 3; ` ` `  `    ``cout << nthTerm(N); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program to find N-th term of the series: ` `// 3, 20, 63, 144, 230 ..... ` `import` `java.util.*; ` ` `  `class` `solution ` `{ ` ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``//return final sum ` `    ``return` `2` `*(``int``)Math.pow(n, ``3``) + (``int``)Math.pow(n, ``2``); ` `} ` ` `  `// Driver code ` `public` `static` `void` `main(String arr[]) ` `{ ` `    ``int` `N = ``3``; ` ` `  `System.out.println(nthTerm(N)); ` ` `  `} ` ` `  `} ` `//This code is contributed by Surendra_Gangwar `

## Python 3

 `# Python program to find ` `# N-th term of the series:  ` `# 3, 20, 63, 144, 230 ..... ` ` `  `# calculate Nth term of series  ` `def` `nthTerm(n) : ` ` `  `    ``return` `2` `*` `pow``(n, ``3``) ``+` `pow``(n, ``2``) ` ` `  `# Driver code ` `if` `__name__ ``=``=` `"__main__"` `: ` ` `  `    ``N ``=` `3` `    ``print``(nthTerm(N)) ` ` `  `# This code is contributed  ` `# by ANKITRAI1 `

## C#

 `// C# program to find N-th term of the series: ` `// 3, 20, 63, 144, 230 ..... ` `using` `System; ` ` `  `class` `solution ` `{ ` ` `  `// calculate Nth term of series ` `static` `int` `nthTerm(``int` `n) ` `{ ` `    ``//return final sum ` `    ``return` `2 *(``int``)Math.Pow(n, 3) + (``int``)Math.Pow(n, 2); ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main() ` `{ ` `    ``int` `N = 3; ` ` `  `Console.WriteLine(nthTerm(N)); ` ` `  `} ` ` `  `} ` `//This code is contributed by  Shashank `

## PHP

 ` `

Output:

```63
```

Time Complexity: O(1)

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