he first three figures in a growing pattern of tiles are shown above. The pattern of tiles contains 50 figures. A). Describe the 20th figure in this pattern, including the total number of tiles it contains and how they are arranged. Then explain the reasoning that you used to determine this information. B) Write a description that could be used to define any figure in the pattern.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The first three figures in a growing pattern of tiles are shown above.

The pattern of tiles contains 50 figures.

A). Describe the 20th figure in this pattern, including the total number of tiles it contains
and how they are arranged. Then explain the reasoning that you used to determine
this information.

B) Write a description that could be used to define any figure in the pattern.

**Zany Zs Task**

*Graph Description:*

The diagram shows the first three figures in a growing pattern of tiles, resembling the letter "Z". Each figure appears to be an extension of the previous one, adding more complexity as it grows.

*Instruction:*

A) Describe the 20th figure in this pattern, including the total number of tiles it contains and how they are arranged. Then explain the reasoning that you used to determine this information.

*Details for Educational Website:*

The task presents a visual pattern sequence that involves geometric reasoning. The pattern consists of a sequence of tiles arranged in a zig-zag manner, which grows consistently from one figure to the next. The challenge is to predict the arrangement and number of tiles in the 20th figure based on the observed sequence.

**Key Concepts:**

- Pattern Recognition
- Geometric Growth
- Mathematical Reasoning

Encourage students to analyze the pattern, identify any consistent rules or sequences, and apply these findings to predict future figures. This exercise helps in enhancing analytical skills and understanding geometric progressions.
Transcribed Image Text:**Zany Zs Task** *Graph Description:* The diagram shows the first three figures in a growing pattern of tiles, resembling the letter "Z". Each figure appears to be an extension of the previous one, adding more complexity as it grows. *Instruction:* A) Describe the 20th figure in this pattern, including the total number of tiles it contains and how they are arranged. Then explain the reasoning that you used to determine this information. *Details for Educational Website:* The task presents a visual pattern sequence that involves geometric reasoning. The pattern consists of a sequence of tiles arranged in a zig-zag manner, which grows consistently from one figure to the next. The challenge is to predict the arrangement and number of tiles in the 20th figure based on the observed sequence. **Key Concepts:** - Pattern Recognition - Geometric Growth - Mathematical Reasoning Encourage students to analyze the pattern, identify any consistent rules or sequences, and apply these findings to predict future figures. This exercise helps in enhancing analytical skills and understanding geometric progressions.
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