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top 10 richest person in world - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Set $ k = -2 $: $ 1 = B(-2) \Rightarrow B = -rac{1}{2} $.

📌 rac{1}{k(k+2)} = rac{1}{2}\left( rac{1}{k} - rac{1}{k+2}

📌 Now substitute into the sum:

📌 \sum_{k=1}^{50} rac{1}{k(k+2)} = rac{1}{2} \sum_{k=1}^{50} \left( rac{1}{k} - rac{1}{k+2}

📌 This is a telescoping series. Write out the terms:

📌 rac{1}{2} \left[ \left( rac{1}{1} - rac{1}{3}

📌 ight) + \left( rac{1}{2} - rac{1}{4}

📌 ight) + \left( rac{1}{3} - rac{1}{5}

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