# Difference between sum of the squares of first n natural numbers and square of sum

Given an integer n, find the absolute difference between sum of the squares of first n natural numbers and square of sum of first n natural numbers.

Examples :

Input : n = 3 Output : 22.0 Sum of first three numbers is 3 + 2 + 1 = 6 Square of the sum = 36 Sum of squares of first three is 9 + 4 + 1 = 14 Absolute difference = 36 - 14 = 22 Input : n = 10 Output : 2640.0

**Asked in : biwhiz Company **

**Approach :**

1. Find the sum of square of first n natural numbers.

2. Find the sum of first n numbers and square it.

3. Find the absolute difference between both the sums and print it.

Below is the implementation of above approach :

## C++

`// C++ program to find the difference` `// between sum of the squares of the` `// first n natural numbers and square` `// of sum of first n natural number` `#include <bits/stdc++.h>` `using` `namespace` `std;` `int` `Square_Diff(` `int` `n){` `int` `l, k, m;` ` ` `// Sum of the squares of the` ` ` `// first n natural numbers is` ` ` `l = (n * (n + 1) * (2 * n + 1)) / 6;` ` ` ` ` `// Sum of n naturals numbers` ` ` `k = (n * (n + 1)) / 2;` ` ` `// Square of k` ` ` `k = k * k;` ` ` ` ` `// Differences between l and k` ` ` `m = ` `abs` `(l - k);` ` ` ` ` `return` `m;` `}` `// Driver Code` `int` `main()` `{` ` ` `int` `n = 10;` ` ` `cout << Square_Diff(n);` ` ` `return` `0;` ` ` `}` `// This code is contributed by 'Gitanjali' .` |

## Java

`// Java program to find the difference` `// between sum of the squares of the` `// first n natural numbers and square` `// of sum of first n natural number` `public` `class` `GfG{` `static` `int` `Square_Diff(` `int` `n){` `int` `l, k, m;` ` ` `// Sum of the squares of the` ` ` `// first n natural numbers is` ` ` `l = (n * (n + ` `1` `) * (` `2` `* n + ` `1` `)) / ` `6` `;` ` ` ` ` `// Sum of n naturals numbers` ` ` `k = (n * (n + ` `1` `)) / ` `2` `;` ` ` `// Square of k` ` ` `k = k * k;` ` ` ` ` `// Differences between l and k` ` ` `m = Math.abs(l - k);` ` ` ` ` `return` `m;` `}` `// Driver Code` `public` `static` `void` `main(String s[])` `{` ` ` `int` `n = ` `10` `;` ` ` `System.out.println(Square_Diff(n)); ` ` ` `}` `}` `// This code is contributed by 'Gitanjali'.` |

## Python

`# Python3 program to find the difference` `# between sum of the squares of the` `# first n natural numbers and square` `# of sum of first n natural number` `def` `Square_Diff(n):` ` ` `# sum of the squares of the` ` ` `# first n natural numbers is` ` ` `l ` `=` `(n ` `*` `(n ` `+` `1` `) ` `*` `(` `2` `*` `n ` `+` `1` `)) ` `/` `6` ` ` ` ` `# sum of n naturals numbers` ` ` `k ` `=` `(n ` `*` `(n ` `+` `1` `)) ` `/` `2` ` ` `# square of k` ` ` `k ` `=` `k ` `*` `*` `2` ` ` ` ` `# Differences between l and k` ` ` `m ` `=` `abs` `(l ` `-` `k)` ` ` ` ` `return` `m` `# Driver code` `print` `(Square_Diff(` `10` `))` |

```
<?php
// PHP program to find the difference
// between sum of the squares of the
// first n natural numbers and square
// of sum of first n natural number
function Square_Diff($n)
{
$l;
$k;
$m;
// Sum of the squares of the
// first n natural numbers is
$l = ($n * ($n + 1) *
(2 * $n + 1)) / 6;
// Sum of n naturals numbers
$k = ($n * ($n + 1)) / 2;
// Square of k
$k = $k * $k;
// Differences between
// l and k
$m = abs($l - $k);
return $m;
}
// Driver Code
$n = 10;
echo Square_Diff($n);
// This code is contributed by anuj_67 .
?>
```

## Javascript

`<script>` `// javascript program to find the difference` `// between sum of the squares of the` `// first n natural numbers and square` `// of sum of first n natural number` `function` `Square_Diff(n){` `var` `l, k, m;` ` ` `// Sum of the squares of the` ` ` `// first n natural numbers is` ` ` `l = (n * (n + 1) * (2 * n + 1)) / 6;` ` ` ` ` `// Sum of n naturals numbers` ` ` `k = (n * (n + 1)) / 2;` ` ` `// Square of k` ` ` `k = k * k;` ` ` ` ` `// Differences between l and k` ` ` `m = Math.abs(l - k);` ` ` `return` `m;` `}` `// Driver Code` `var` `n = 10;` `document.write(Square_Diff(n));` `// This code is contributed by Princi Singh` `</script>` |

Output :

2640

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