Math Problem Statement

How many dots are added each time in the given pattern sequence?

Solution

This is a pattern sequence where the number of dots increases based on a specific rule. According to the image:

  • The first pattern (pattern 1) has 3 dots.
  • The second pattern (pattern 2) has 11 dots.
  • The third pattern (pattern 3) has 19 dots.

You are asked to identify how many dots are added each time.

We can calculate the difference in dots between consecutive patterns:

  • From pattern 1 to pattern 2: 11 - 3 = 8 dots.
  • From pattern 2 to pattern 3: 19 - 11 = 8 dots.

Thus, it looks like 8 dots are added each time.

If you need further clarification or have other questions, feel free to ask!

Would you like to explore more about sequences and patterns?

Here are some related questions you might find interesting:

  1. How do you write a rule for this sequence?
  2. What is the number of dots in pattern 6?
  3. What is the 10th term in this sequence?
  4. How can this sequence be represented algebraically?
  5. How would the pattern change if the rule was to add 6 dots each time?

Tip: When identifying the rule of a sequence, always check the difference between consecutive terms to determine if it's an arithmetic sequence.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Pattern Recognition

Formulas

Difference between consecutive terms
Arithmetic Sequence Formula

Theorems

Arithmetic Progression

Suitable Grade Level

Grades 4-6