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Home » But since we count cumulative infections including initial, and model is geometric: - Network4

But since we count cumulative infections including initial, and model is geometric: - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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n - 1 \equiv 0 \pmod{7} \quad \text{and} \quad n - 1 \equiv 0 \pmod{11...
So $ n - 1 $ is a common multiple of 7 and 11. Since 7 and 11 are copr...
\text{lcm}(7, 11) = 7 \cdot 11 = 77
Thus, $ n - 1 = 77k $ for some integer $ k $, and:
n = 77k + 1
We are to find the smallest such $ n > 50 $. Try $ k = 1 $:
n = 77 \cdot 1 + 1 = 78
Since $ 78 > 50 $, this is valid.
Therefore, the smallest clutch size greater than 50 that satisfies the...
\boxed{78}

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