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Home » Solution: Simplify the function: - AMAZONAWS

Solution: Simplify the function: - AMAZONAWS

Solution: Simplify the Function — Streamline Code for Better Performance and Readability

📅 March 11, 2026 👤 scraface

Mar 11, 2026

Solution: Simplify the function:

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📌 Ein Science-Fiction-Autor berechnet die Zeitdilatation, die Astronauten bei einer Reise nahe der Lichtgeschwindigkeit erfahren. Wenn ein Raumschiff mit 0,8c fährt, wie groß ist der Zeitdilatationsfaktor nach dem Lorentz-Faktor? (Verwenden Sie √(1 - v²/c²))

📌 Solution: We seek the smallest $n > 0$ such that $2^n \equiv 12 \pmod{25}$.

📌 Take max exponents: $2^3 \cdot 3^2 = 8 \cdot 9 = 72$. So $\mathrm{lcm} = 72$.

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📌 So, the 5th term is \( a_5 = 2 \cdot 3^{4} = 2 \cdot 81 = 162 \).

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