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Home » El \( n \)-ésimo término \( a_n = S_n - S_n-1 \). - Sterling Industries

El \( n \)-ésimo término \( a_n = S_n - S_n-1 \). - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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Solution: The volume $ V $ of a regular tetrahedron with edge length $...
V = \frac{e^3}{6\sqrt{2}}
Set this equal to the given volume:
\frac{e^3}{6\sqrt{2}} = 8\sqrt{2}
Multiply both sides by $ 6\sqrt{2} $:
e^3 = 8\sqrt{2} \cdot 6\sqrt{2} = 8 \cdot 6 \cdot 2 = 96
e = \sqrt[3]{96} = \sqrt[3]{8 \cdot 12} = 2\sqrt[3]{12}
The edge length is $ \boxed{2\sqrt[3]{12}} $ cm.
Question: An ichthyologist observes a fish migration pattern forming a...
Solution: Let the legs of the right triangle be $ a = 15 $ km and $ b...

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