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20100
The sum of the first 200 natural numbers is 20,001.
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
That would be equal to the sum of all natural numbers less than or equal to 100 minus the sum of all natural numbers less than or equal to 89. The sum of all natural numbers less than or equal to x can be calculated with this equation: x ∑n = n(n + 1) / 2 n=1 We can take the numbers given above then, and plug them into that sum, giving us the equation: x = 100(100 + 1)/2 - 89(89 + 1) / 2 x = 5050 - 4005 x = 1045
The sum of all the natural numbers squared.