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📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 n^2 + 3n + 2 = (n + 1)(n + 2)

📌 So the general term is:

📌 a_n = rac{1}{(n + 1)(n + 2)}

📌 We apply partial fraction decomposition:

📌 rac{1}{(n + 1)(n + 2)} = rac{A}{n + 1} + rac{B}{n + 2}

📌 Multiplying both sides by \((n + 1)(n + 2)\):

📌 = A(n + 2) + B(n + 1)

📌 Setting \( n = -2 \):

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