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Home » Spring Is Blooming—So Are These Inspirational Quotes! 🌸 - Portal da AcÃºstica

Spring Is Blooming—So Are These Inspirational Quotes! 🌸 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 This completes the proof.

📌 oxed{a^3 + b^3 + c^3 = 3abc}

📌 Question: Compute $ \sum_{k=1}^{50} rac{1}{k(k+2)} $.

📌 Solution: We evaluate the sum:

📌 \sum_{k=1}^{50} rac{1}{k(k+2)}.

📌 We use partial fractions:

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

📌 Multiply both sides by $ k(k+2) $:

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