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Find the missing pattern in the sequence of concentric circles.

A 3x3 grid of blue concentric circles with the bottom-right cell missing, showing a question mark, and five options below to complete the pattern.

A 3x3 grid of blue concentric circles with the bottom-right cell missing, showing a question mark, and five options below to complete the pattern.

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Show Answer Key & Explanations Step-by-step solution for: Recognizing Visual Patterns | Brilliant Math & Science Wiki

Problem Analysis:


The image shows a 3x3 grid with a pattern of circles. The task is to determine the missing piece (indicated by the yellow square) based on the existing pattern. Below the grid, there are five options (A, B, C, D, E) from which the correct answer must be chosen.

Step-by-Step Solution:



1. Examine the Pattern in the Grid:
- The grid consists of 9 cells, each containing a circle with a specific design.
- The circles have concentric rings, and the colors and shading vary systematically.

2. Identify the Key Characteristics:
- Each cell contains a circle with a blue outer ring and a white inner ring.
- The shading of the blue outer ring changes in a consistent manner across the rows and columns.

3. Analyze the Shading Pattern:
- Row 1: The blue outer ring is fully shaded in all three cells.
- Row 2: The blue outer ring is partially shaded in all three cells.
- Row 3: The blue outer ring is not shaded at all in the first two cells. The third cell (the missing one) should follow this pattern.

4. Determine the Missing Piece:
- Since the blue outer ring is not shaded in the first two cells of Row 3, the missing piece should also have an unshaded blue outer ring.
- The inner white ring remains consistent across all cells.

5. Match the Options:
- Option A: Fully shaded blue outer ring (does not match Row 3).
- Option B: Partially shaded blue outer ring (does not match Row 3).
- Option C: Unshaded blue outer ring (matches Row 3).
- Option D: Fully shaded blue outer ring (does not match Row 3).
- Option E: Partially shaded blue outer ring (does not match Row 3).

Conclusion:


The correct answer is Option C, as it matches the pattern of having an unshaded blue outer ring, consistent with the other cells in Row 3.

Final Answer:


\[
\boxed{C}
\]
Parent Tip: Review the logic above to help your child master the concept of visual patterns worksheet.
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