The sum of the squares of the first ten natural numbers is,
1^(2) + 2^(2) + … + 10^(2) = 385The square of the sum of the first ten natural numbers is,
(1 + 2 + … + 10)^(2) = 55^(2) = 3025Hence 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.
My solution in Ruby:
def sum_and_square(j, k)
tmp = 0
for i in 1..100
tmp += i**j
end
tmp**k
end
puts sum_and_square(1,2) - sum_and_square(2,1)