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Home » Spin Seattle Like Never Before—Nonstop Thrills in Our Exclusive Guide! - High Altitude Science

Spin Seattle Like Never Before—Nonstop Thrills in Our Exclusive Guide! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A rectangular garden has a length that is 3 meters more than twice its width. If the perimeter is 54 meters, find the width.

📌 Let width = \( w \), then length = \( 2w + 3 \).

📌 Perimeter: \( 2(w + 2w + 3) = 54 \).

📌 Simplify: \( 2(3w + 3) = 54 \) â \( 6w + 6 = 54 \).

📌 Solve: \( 6w = 48 \) â \( w = 8 \).

📌 Find the sum of the first 15 terms of the arithmetic sequence where the first term is 7 and the common difference is 4.

📌 Use the sum formula: \( S_n = rac{n}{2}(2a + (n-1)d) \).

📌 Plug in: \( S_{15} = rac{15}{2}(2(7) + 14 \cdot 4) = rac{15}{2}(14 + 56) = rac{15}{2}(70) = 15 \cdot 35 = 525 \).

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