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Home » So \( b = 7c + 3 \), then: - Parker Core Knowledge

So \( b = 7c + 3 \), then: - Parker Core Knowledge

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 The interval contains all whole numbers from 1 up to 7, because 7.854 is less than 8.

📌 Thus, the whole numbers in the interval are $ 1, 2, 3, 4, 5, 6, 7 $.

📌 There are $ 7 $ whole numbers.

📌 Question: An ornithologist observes a flock of birds migrating, where the number of birds doubles every day starting from 3 birds on day one. On what day does the total count first exceed 500 birds?

📌 Solution: The number of birds follows a geometric sequence: $ 3, 6, 12, 24, \dots $, with first term $ a = 3 $ and common ratio $ r = 2 $.

📌 The number of birds on day $ n $ is $ 3 \cdot 2^{n-1} $.

📌 \cdot 2^{n-1} > 500

📌 2^{n-1} > \frac{500}{3} \approx 166.67

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