Math Problem Statement
Draw the next three terms in the pattern shown. Pattern 1: a single square, Pattern 2: three squares in an L-shape, Pattern 3: six squares in a larger L-shape.
Solution
The image shows a sequence of patterns made from squares, where each new pattern builds upon the previous one. The first three patterns are as follows:
- Pattern 1: A single square.
- Pattern 2: Three squares arranged in an "L" shape.
- Pattern 3: Six squares forming a larger "L" shape with one additional row on the left.
Observing the Pattern Growth:
- From Pattern 1 to Pattern 2, two squares were added.
- From Pattern 2 to Pattern 3, three squares were added in a specific arrangement, extending the "L" shape.
Projecting the Next Three Patterns:
- Pattern 4 will add another row of four squares on the left, maintaining the "L" shape growth.
- Pattern 5 will continue with an additional row of five squares.
- Pattern 6 will add another row of six squares.
Would you like a detailed visual representation of these next three patterns, or further clarifications?
Here are some related questions:
- How many squares will each new pattern have?
- Can you identify a numerical sequence in the number of squares added?
- How does the structure of each "L" shape evolve between patterns?
- What is the formula for the total number of squares in each pattern?
- How would you describe this pattern growth geometrically?
Tip: Look for consistency in the way each pattern adds rows to predict future steps more easily.
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Math Problem Analysis
Mathematical Concepts
Geometry
Pattern Recognition
Sequences
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6