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Home » "Watched Watchmen? This Cast Will Blow Your Mind—You Need to Hear It! - American Beagle Club

"Watched Watchmen? This Cast Will Blow Your Mind—You Need to Hear It! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 We are to minimize

📌 a + b + c - \log\left(rac{x}{z} + rac{z}{x}

📌 ight) = a + b + c - \log\left(rac{1}{b} + b

📌 since $ rac{x}{z} = rac{x}{y} \cdot rac{y}{z} = ac = rac{1}{b} $, and similarly $ rac{z}{x} = rac{1}{c} $, but $ rac{x}{z} + rac{z}{x} = b + rac{1}{b} $.

📌 a + b + c - \log\left(b + rac{1}{b}

📌 Since $ abc = 1 $, we can assume $ a = rac{x}{y} $, $ b = rac{y}{z} $, $ c = rac{z}{x} $, and by AM-GM,

📌 a + b + c \geq 3\sqrt[3]{abc} = 3.

📌 Equality occurs when $ a = b = c = 1 $, i.e., when $ x = y = z $.

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Generation 0: 1
Generation 1: 1 × 2.5 = 2.5
Generation 2: 2.5 × 2.5 = 6.25
Generation 3: 6.25 × 2.5 = 15.625
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Total cases = 1 + 2.5 + 6.25 + 15.625 + 39.0625 = 64.4375 ≈ 64.44
But since we count cumulative infections including initial, and model...
Sum = (rⁿ⁺¹ - 1)/(r - 1) = (2.5⁵ - 1)/(2.5 - 1) = (97.65625 - 1)/1.5 =...
#### 64.44
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