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Home » Letâs compute the number of such sequences for each position: - American Beagle Club

Letâs compute the number of such sequences for each position: - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 The perimeter \( P = 2(l + w) = 2(3w + w) = 8w = 64 \).

📌 Solving for \( w \), we get \( w = \frac{64}{8} = 8 \) meters.

📌 The area \( A = l \times w = 24 \times 8 = 192 \) square meters.

📌 Problem:** A sequence is defined by \( a_1 = 2 \) and \( a_{n+1} = 3a_n + 4 \). What is the value of \( a_4 \)?

📌 \( a_2 = 3a_1 + 4 = 3 \times 2 + 4 = 10 \)

📌 \( a_3 = 3a_2 + 4 = 3 \times 10 + 4 = 34 \)

📌 \( a_4 = 3a_3 + 4 = 3 \times 34 + 4 = 106 \)

📌 Problem:** A company’s profit \( P \) (in thousands) is modeled by \( P = -2x^2 + 12x - 5 \), where \( x \) is the number of units sold (in hundreds). What is the maximum profit?

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