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Home » The Most Mesmerizing Law of Nature: What Goes Up Never Falls—Prove Your Beliefs Today! - AMAZONAWS

The Most Mesmerizing Law of Nature: What Goes Up Never Falls—Prove Your Beliefs Today! - AMAZONAWS

The Most Mesmerizing Law of Nature: What Goes Up Never Falls—Prove Your Beliefs Today!

📅 March 6, 2026 👤 scraface
Mar 06, 2026
The Most Mesmerizing Law of Nature: What Goes Up Never Falls—Prove Your Beliefs Today!

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📌 Solution: Start with $a_1 = 1$. Compute $a_2 = M(a_1) = 1 - rac{1^2}{2} = rac{1}{2}$. Next, compute $a_3 = M(a_2) = rac{1}{2} - rac{( rac{1}{2})^2}{2} = rac{1}{2} - rac{1}{8} = rac{3}{8}$. Thus, the value of $a_3$ is $oxed{\dfrac{3}{8}}$.
📌 Question: Let $x, y, z$ be positive real numbers such that $2x + 3y + 4z = 12$. Find the minimum value of $x^2 + y^2 + z^2$.

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