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\boxed{2\sqrt3} - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Maximum height = \( \frac{(10\sqrt{2})^2}{2 \times 9.8} = \frac{200}{19.6} \approx 10.2 \, \text{meters} \)

📌 Question**: A sequence is defined by \( a_n = 3n + 2 \). What is the sum of the first 10 terms of this sequence?

📌 First term \( a_1 = 3(1) + 2 = 5 \)

📌 Tenth term \( a_{10} = 3(10) + 2 = 32 \)

📌 Sum of first 10 terms: \( \frac{10}{2} \times (5 + 32) = 5 \times 37 = 185 \)

📌 Question**: A cone has a base radius of 4 meters and a slant height of 5 meters. What is the lateral surface area of the cone?

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