Math Problem Statement

How many dots are in the 4th step based on the given pattern?

Solution

From the image, it looks like you are working on a pattern that involves growing shapes (dots). You provided three steps with increasing dots, and the task is to figure out how many dots are in the 4th step.

In step 1, there are 3 dots, in step 2, there are 5 dots, and in step 3, there are 7 dots.

Based on this pattern, we can observe that the number of dots increases by 2 each step. So, for the 4th step:

  • Step 1: 3 dots
  • Step 2: 5 dots
  • Step 3: 7 dots
  • Step 4: 9 dots (following the pattern of adding 2 dots).

Thus, the answer is 9 dots in the 4th step.

Would you like any additional details on how to work with growing patterns, or have any other questions about this problem?

Here are some related questions you might find interesting:

  1. How would you describe the pattern of the dots in step-by-step terms?
  2. How could this pattern be expressed as a formula?
  3. What happens if the step increases by a different number instead of 2?
  4. What are some real-world examples where growing patterns like this appear?
  5. How would you extend this pattern beyond the 4th step?

Tip: When identifying patterns, try to find the relationship between the terms. In this case, the number of dots increases consistently by 2, making it an arithmetic progression.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Pattern Recognition

Formulas

a_n = a_1 + (n - 1) * d
n-th term formula for arithmetic sequences

Theorems

Arithmetic Progression

Suitable Grade Level

Grades 4-6