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Home » Why 10 Million Players Are Raving About These Undercut Online Building Games! - Deep Underground Poetry

Why 10 Million Players Are Raving About These Undercut Online Building Games! - Deep Underground Poetry

📅 May 5, 2026 👤 scraface

May 05, 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) $:
= A(k+2) + Bk.
Set $ k = 0 $: $ 1 = A(2) \Rightarrow A = rac{1}{2} $.

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