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what is a monosaccharide - IQnection

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Given that $ a + b + c = 0 $, substitute into the identity:

📌 a^3 + b^3 + c^3 - 3abc = 0 \cdot (a^2 + b^2 + c^2 - ab - bc - ca) = 0.

📌 a^3 + b^3 + c^3 = 3abc.

📌 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)}.

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