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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```

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

 ``

Javascript

 ``

Output:

`63`

Time Complexity: O(1), since there is no loop or recursion.

Auxiliary Space: O(1) since using constant variables

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