1.5,3,6, 12, How does it change?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question b**: 1.5, 3, 6, 12, ___, ___, ___  

**Prompt**: How does it change?

---

This sequence is presented as a list of numbers, and the task is to determine the pattern or rule governing the change between these numbers.

1. **Identify the Pattern**: 
   - Start with the given numbers: 1.5, 3, 6, 12.
   - Observe how each number changes to the next:
     - 1.5 multiplied by 2 equals 3.
     - 3 multiplied by 2 equals 6.
     - 6 multiplied by 2 equals 12.

2. **Apply the Pattern**:
   - To find the next numbers in the sequence, continue to multiply by 2.
   - 12 multiplied by 2 equals 24.
   - 24 multiplied by 2 equals 48.
   - 48 multiplied by 2 equals 96.

3. **Conclusion**:
   - The complete sequence is 1.5, 3, 6, 12, 24, 48, 96.
   - The pattern is a geometric sequence where each term is obtained by multiplying the previous term by 2.
Transcribed Image Text:**Question b**: 1.5, 3, 6, 12, ___, ___, ___ **Prompt**: How does it change? --- This sequence is presented as a list of numbers, and the task is to determine the pattern or rule governing the change between these numbers. 1. **Identify the Pattern**: - Start with the given numbers: 1.5, 3, 6, 12. - Observe how each number changes to the next: - 1.5 multiplied by 2 equals 3. - 3 multiplied by 2 equals 6. - 6 multiplied by 2 equals 12. 2. **Apply the Pattern**: - To find the next numbers in the sequence, continue to multiply by 2. - 12 multiplied by 2 equals 24. - 24 multiplied by 2 equals 48. - 48 multiplied by 2 equals 96. 3. **Conclusion**: - The complete sequence is 1.5, 3, 6, 12, 24, 48, 96. - The pattern is a geometric sequence where each term is obtained by multiplying the previous term by 2.
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