Sum of Series (n^2-1^2) + 2(n^2-2^2) +….n(n^2-n^2)

Program for finding the sum of the nth term of the series (n^2-1^2) + 2(n^2-2^2) + 3(n^2-3^2) + ….n(n^2-n^2)

Examples:

```Input : 2
Output :3

Input :5
Output :150```

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

To solve this problem we have the formula ((1/4)*n2*(n2-1)). We can prove the formula using mathematical induction.

```Example n = 2
result = ((1/4)*2^2*(2^2-1))
= ((0.25)*4*(4-1))
= ((0.25)*4*3
= 3 ans.
```

C++

 `// CPP Program to finding the ` `// sum of the nth series ` `#include ` `using` `namespace` `std; ` ` `  `// function that calculate ` `// the sum of the nth series ` `int` `sum_series(``int` `n) ` `{ ` `    ``int` `nSquare = n * n; ` ` `  `    ``// using formula of the nth term ` `    ``return` `nSquare * (nSquare - 1) / 4; ` `} ` ` `  `// driver function ` `int` `main() ` `{ ` `    ``int` `n = 2; ` `    ``cout << sum_series(n) << endl; ` `    ``return` `0; ` `} `

Java

 `// javaProgram to finding the ` `// sum of the nth series ` `import` `java.io.*; ` ` `  `class` `GFG { ` `     `  `    ``// function that calculate ` `    ``// the sum of the nth series ` `    ``static` `int` `sum_series(``int` `n) ` `    ``{ ` `        ``int` `nSquare = n * n; ` `     `  `        ``// using formula of the nth term ` `        ``return` `nSquare * (nSquare - ``1``) / ``4``; ` `    ``} ` ` `  `    ``// Driver function ` `    ``public` `static` `void` `main (String[] args)  ` `    ``{ ` `        ``int` `n = ``2``; ` `        ``System.out.println( sum_series(n)) ; ` `     `  `    ``} ` `     `  `} ` `// This article is contributed by vt_m `

Python3

 `# Python 3 Program to finding ` `# the sum of the nth series ` ` `  `# function that calculate ` `# the sum of the nth series ` `def` `sum_series(n): ` ` `  `    ``nSquare ``=` `n ``*` `n  ` ` `  `    ``# Using formula of the ` `    ``# nth term ` `    ``return` `int``(nSquare ``*` `(nSquare ``-` `1``) ``/` `4``)  ` ` `  `# Driver function ` `n ``=` `2` `print``(sum_series(n)) ` ` `  `# This code is contributed by Smitha Dinesh Semwal `

C#

 `// C# program to finding the ` `// sum of the nth series ` `using` `System; ` ` `  `class` `GFG { ` `     `  `    ``// Function that calculate ` `    ``// the sum of the nth series ` `    ``static` `int` `sum_series(``int` `n) ` `    ``{ ` `        ``int` `nSquare = n * n; ` `     `  `        ``// Using formula of the nth term ` `        ``return` `nSquare * (nSquare - 1) / 4; ` `    ``} ` ` `  `    ``// Driver Code ` `    ``public` `static` `void` `Main ()  ` `    ``{ ` `        ``int` `n = 2; ` `        ``Console.Write( sum_series(n)) ; ` `     `  `    ``} ` `} ` ` `  `// This code is contributed by vt_m `

PHP

 ` `

Output:

```3
```

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