Question
Risha, Devin and Alice each create a number pattern. Risha: \( 15,18,21,24,27,30 \ldots \) Devin: \( 15,16,18,21,25,30 \ldots \) Alice: \( 50,47,44,41,38,35 \ldots \) a. State one difference between Devin's pattern and Alice's pattern. State one similarity between Risha's
Ask by Greene Guzman. in South Africa
Feb 03,2025
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Answer
a. **Difference between Devin's pattern and Alice's pattern:**
- Devin's pattern increases by varying amounts, while Alice's pattern decreases by a constant amount.
b. **Similarity between Risha's pattern and Devin's pattern:**
- Both patterns start with the number 15.
Solution
### a. **Difference between Devin's pattern and Alice's pattern**
- **Direction of Change:**
- **Devin's Pattern:** The numbers are **increasing**. For example, from 15 to 16 (+1), then to 18 (+2), and so on.
- **Alice's Pattern:** The numbers are **decreasing**. For example, from 50 to 47 (−3), then to 44 (−3), and so on.
**Summary:** Devin's pattern **increases** by varying amounts, while Alice's pattern **decreases** by a constant amount.
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### b. **Similarity between Risha's pattern and Devin's pattern**
- **Starting Number:**
- **Risha's Pattern:** Starts with **15**.
- **Devin's Pattern:** Also starts with **15**.
**Summary:** Both Risha's and Devin's patterns **begin with the number 15**.
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One difference between Devin's pattern and Alice's pattern is that Devin's pattern consists of a mix of increasing numbers with gaps that vary (for example, from 15 to 16, then 16 to 18, and so on), whereas Alice's pattern is strictly decreasing by 3 each time. One similarity between Risha's and Alice's patterns is that both patterns ultimately have a consistent rule; Risha's increases by 3 each step, and while different in operation, Alice's decreases by 3 in a consistent fashion as well.
