Math Problem Statement

What will the next array in the pattern look like?

Solution

The question asks: "What will the next array in the pattern look like?"

From the image, we see a sequence of arrays:

  • First array: 4 circles (arranged in 2 rows of 2)
  • Second array: 6 circles (arranged in 2 rows of 3)
  • Third array: 9 circles (arranged in 3 rows of 3)

The pattern shows that the number of circles is increasing, and the structure of the arrays is changing. Each step seems to add more circles and expands into a larger grid-like structure. Specifically:

  • From 4 to 6, two extra circles are added by extending the rows.
  • From 6 to 9, three extra circles are added by expanding into a 3x3 square.

Thus, the next array in the sequence will likely follow a similar pattern. The next step would likely add more circles, creating an array of 4 rows of 4 circles, for a total of 16 circles arranged in a 4x4 grid.

Would you like more details or have any questions about this? Here are some related questions:

  1. How does the number of circles increase in each step?
  2. What rule can you use to predict the next array in a sequence like this?
  3. Can the pattern be described with a mathematical formula?
  4. What would the 5th array look like?
  5. How many circles will the 10th array contain?

Tip: Look for patterns in both the arrangement and the total number of elements when solving array questions!

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Math Problem Analysis

Mathematical Concepts

Patterns
Array Structures
Arithmetic Sequences

Formulas

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Theorems

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Suitable Grade Level

Grades 3-5