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Home » Better: adjust to make whole numbers. New version: - Appcentric

Better: adjust to make whole numbers. New version: - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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This is a quadratic function \( A(l) = -l^2 + 50l \), which is a downw...
l = -\frac{b}{2a} = -\frac{50}{2(-1)} = 25
Substitute back to find \( w \):
w = 50 - 25 = 25
The maximum area is:
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:

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