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robert frost stopping by woods on a snowy evening - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \Rightarrow n \leq \frac{503}{6} \approx 83.83

📌 So the largest integer \( n \) is 83.

📌 Thus, there are 83 stable molecular points in the first 500 cubic units.

📌 \boxed{83}

📌 Question:** A plant biologist discovers a growth pattern in a drought-resistant crop where the number of new root branches per week follows the sequence: 2, 5, 8, 11, ... What is the sum of the number of root branches produced in the first 30 weeks?

📌 Solution:** The sequence 2, 5, 8, 11, ... is arithmetic with first term \( a = 2 \) and common difference \( d = 3 \).

📌 The sum \( S_n \) of the first \( n \) terms of an arithmetic sequence is:

📌 S_n = \frac{n}{2} (2a + (n - 1)d)

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