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Home » So the largest integer \( n \) is 83. - AMAZONAWS

So the largest integer \( n \) is 83. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Time period: 4 years.

📌 Average annual increase: \( \frac{7}{4} = 1.75 \) percentage points per year.

📌 A researcher observes that a virus spreads such that each infected person infects 1.4 others on average per cycle. Starting with 8 infected individuals, how many total people will be infected after 4 transmission cycles? (Assume no recoveries.)

📌 This is geometric growth: total infections after \( n \) cycles is \( 8 \times (1.4)^n \).

📌 After 4 cycles: \( 8 \times (1.4)^4 \).

📌 Calculate \( (1.4)^4 = 3.8416 \).

📌 Then, \( 8 \times 3.8416 = 30.7328 \).

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