Created
December 12, 2012 08:26
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What is the difference between the sum of the squares and the square of
sums?
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#!/usr/bin/env ruby | |
# The sum of the squares of the first ten natural numbers is, | |
# 12 + 22 + ... + 102 = 385 | |
# The square of the sum of the first ten natural numbers is, | |
# (1 + 2 + ... + 10)2 = 552 = 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 natu- | |
# ral numbers and the square of the sum. | |
# | |
# Solution: | |
a,b,c = 0,0,0 | |
(1..100).each do |x| | |
a += x ** 2 | |
b += x | |
end | |
b = b ** 2 | |
c = b - a | |
puts c |
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