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united states post office international tracking - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Solution: This is a geometric sequence with first term $a = 1$ and common ratio $r = 3$. The total number infected by the end of the 5th generation is the sum of the first 5 terms:

📌 S_5 = a \cdot rac{r^5 - 1}{r - 1} = 1 \cdot rac{3^5 - 1}{3 - 1} = rac{243 - 1}{2} = rac{242}{2} = 121.

📌 Thus, the total number of individuals infected is $oxed{121}$.

📌 Question: In a VR puzzle, a player must guess a 3-digit code where each digit is a factor of 24. How many valid codes are possible?

📌 Solution: First, list the positive factors of 24: $1, 2, 3, 4, 6, 8, 12, 24$. But digits must be single-digit numbers (0â9), so valid digits are $1, 2, 3, 4, 6, 8$.

📌 The digit choices per position are 6. Since the code is 3 digits and repetition is allowed (unless restricted), total codes = $6 imes 6 imes 6 = 216$.

📌 Therefore, the number of valid 3-digit codes is $oxed{216}$.

📌 Question: The average of $3v+2$, $5v-4$, and $4v+7$ is 15. What is the value of $v$?

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