Question
What is the next fraction in this sequence? \( \frac{1}{6}, \frac{1}{12}, \frac{1}{24}, \frac{1}{48}, \ldots \)
Ask by Osborne Estrada. in Colombia
Jan 24,2025
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Tutor-Verified Answer
Answer
El siguiente término de la secuencia es \( \frac{1}{96} \).
Solution
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Extra Insights
The pattern in the sequence involves each fraction being half of the previous one. Here’s how it works: 1. \( \frac{1}{6} \div 2 = \frac{1}{12} \) 2. \( \frac{1}{12} \div 2 = \frac{1}{24} \) 3. \( \frac{1}{24} \div 2 = \frac{1}{48} \) Following this pattern, the next fraction would be \( \frac{1}{48} \div 2 = \frac{1}{96} \). So the next fraction in the sequence is \( \frac{1}{96} \).
