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Home » Discover the Magical Moment When ‘Drawn Together’ Turned Strangers Into Heroes - Baxtercollege

Discover the Magical Moment When ‘Drawn Together’ Turned Strangers Into Heroes - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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A = 25 \times 25 = 625
Thus, the maximum possible area is:
\boxed{625}
Compute \(\sum_{k=1}^{50} \frac{1}{k(k+1)}\).
The given sum can be simplified using partial fraction decomposition:
\frac{1}{k(k+1)} = \frac{1}{k} - \frac{1}{k+1}
Thus, the sum becomes a telescoping series:
\sum_{k=1}^{50} \left( \frac{1}{k} - \frac{1}{k+1} \right)
Writing out the terms:
\left( \frac{1}{1} - \frac{1}{2} \right) + \left( \frac{1}{2} - \frac{...

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