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📅 February 27, 2026 👤 scraface

Feb 27, 2026

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

📌 The function \( f(x) = rac{2x^2 - 8}{x - 2} \) is undefined at \( x = 2 \). Simplify and find \( \lim_{x o 2} f(x) \).

📌 Factor numerator: \( 2x^2 - 8 = 2(x^2 - 4) = 2(x - 2)(x + 2) \).

📌 Simplify: \( f(x) = rac{2(x - 2)(x + 2)}{x - 2} = 2(x + 2) \), for \( x

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