Feat: Project Euler Problem 6

Author: domix80

DIRECTORY.md

@@ -153,6 +153,8 @@
     * [Sol2](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_004/sol2.rb)
   * Problem 005
     * [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_005/sol1.rb)
+  * Problem 006
+    * [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_006/sol1.rb)    
   * Problem 020
     * [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_020/sol1.rb)
   * Problem 021

project_euler/problem_006/sol1.rb

@@ -0,0 +1,35 @@
+#Project Euler Problem 6: #https://projecteuler.net/problem=6
+
+#Sum square difference
+
+#The sum of the squares of the first ten natural numbers #is,
+#    1^2 + 2^2 + ... + 10^2 = 385
+#The square of the sum of the first ten natural numbers #is,
+#    (1 + 2 + ... + 10)^2 = 55^2 = 3025
+#Hence the difference between the sum of the squares of #the first ten
+#natural numbers and the square of the sum is 3025 - 385 = 2640.
+#Find the difference between the sum of the squares of the first one
+#hundred natural numbers and the square of the sum.
+
+def solution?(num)
+	x = 1
+	y = 1
+	result = 1
+	gap = 3
+	while y < num
+  		x += gap
+  		gap += 2
+  		y += 1
+  		result += x
+	end
+	r_n_pow2_plus_n_pow2 = result
+	r_sum_n_pow2 = (((num / 2) + 0.5) * num) ** 2
+
+	r_sum_n_pow2 - r_n_pow2_plus_n_pow2
+end
+
+answer = 0
+answer = solution?(10)
+
+
+p answer