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Home » Question: Compute $ \sum_n=1^50 \frac1n(n+2) $. - Deep Underground Poetry

Question: Compute $ \sum_n=1^50 \frac1n(n+2) $. - Deep Underground Poetry

📅 May 4, 2026 👤 scraface

May 04, 2026

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🔥 Popular Posts

New width: \( 6 - (-6) = 12 \) mm
A watershed's water retention capacity is modeled as decreasing linear...
Let \( t \) be years. Capacity = \( 8,400,000 - 120,000t \)
Set: \( 8,400,000 - 120,000t < 6,000,000 \)
Subtract: \( 2,400,000 < 120,000t \)
Divide: \( t > 2,400,000 / 120,000 = 20 \)
So after 21 years, it drops below. But the question asks when it *drop...
But numerically: \( t = 20 \) gives exactly 6M → needs to go below, so...
However, math solution: \( t > 20 \), so after 20 years it reaches 6M,...
Solve: \( 8,400,000 - 120,000t < 6,000,000 \Rightarrow t > 20 \) → so...

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