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= 16 - 40 + 24 - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 C: $a_n = 5 \cdot 2^n - 3$

📌 D: $a_n = 2^{n} \cdot 5 - 3 \cdot \frac{2^n - 1}{1}$

📌 Antwort: D $a_n = 2^{n} \cdot 5 - 3 \cdot \frac{2^n - 1}{1}$ — jedoch vereinfacht korrekt:

📌 Richtige Herleitung:

📌 Homogene Lösung: $a_n^{(h)} = A \cdot 2^n$

📌 Partikuläre Lösung: Konstant $C$, einsetzen: $C = 2C - 3 \Rightarrow C = 3$

📌 Allgemeine Lösung: $a_n = A \cdot 2^n + 3$

📌 Nutze $a_0 = 5$: $5 = A + 3 \Rightarrow A = 2$

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ight)^2 \cdot \left(rac{1}{3}
ight)^3 = rac{8!}{3! \cdot 2! \cdot 3!} \cdot \left(rac{1}{3}
ight)^8
rac{8!}{3! \cdot 2! \cdot 3!} = rac{40320}{6 \cdot 2 \cdot 6} = rac{...
Now compute $ \left(rac{1}{3}
ight)^8 = rac{1}{6561} $
P = rac{560}{6561}
Thus, the probability is $ oxed{rac{560}{6561}} $.
Question: A cyclist rides through a city grid and chooses at random on...
Solution: This is a multinomial distribution with 10 independent trial...

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