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But for exact boxed answer in terms of count: - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 So, \(6w = 72\).

📌 Solving for \(w\), we get \(w = 12\).

📌 The length is \(2 \times 12 = 24\) meters.

📌 The area is \(12 \times 24 = 288\) square meters.

📌 The sum of the first \(n\) terms of an arithmetic sequence is given by \(S_n = 3n^2 + 5n\). Find the 10th term of the sequence.

📌 The \(n\)-th term \(a_n\) is given by \(a_n = S_n - S_{n-1}\).

📌 \(S_{10} = 3(10)^2 + 5(10) = 300 + 50 = 350\).

📌 \(S_9 = 3(9)^2 + 5(9) = 243 + 45 = 288\).

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