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Home » The Ultimate Magic: The Gathering Guide That Will Change Your Game Forever! - Simpleprint

The Ultimate Magic: The Gathering Guide That Will Change Your Game Forever! - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 An epidemiologist estimates that a disease spreads such that each infected person infects 2.5 others per week on average. If one person is initially infected, how many total people will be infected after 4 weeks, assuming no interventions and exponential growth?

📌 Week 0: 1 infected

📌 Week 1: 1 × 2.5 = 2.5 → total = 1 + 2.5 = 3.5

📌 But in exponential progression, total infected after n weeks is 1 × (2.5)^n, though cumulative is sum of geometric series:

📌 Total infections = sum from k=0 to 3 of (2.5)^k for new infections in week k, plus initial

📌 Total = 1 + 2.5 + (2.5)^2 + (2.5)^3

📌 = 1 + 2.5 + 6.25 + 15.625 = <<1+2.5+6.25+15.625=25.375>>25.375

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