The sum of the squares of three consecutive natural numbers is 434. What is the sum of the three numbers?
Correct answer B. 36
Explanation
(n - 1)^2 + n^2 + (n + 1)^2 = 3n^2 + 2 = 434, so n^2 = 144 and n = 12. The numbers 11, 12, 13 sum to 36.
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