Complete an increasing number pattern

key notes :

Understanding the Pattern:

• A number pattern is a sequence of numbers arranged according to a specific rule.
• In an increasing number pattern, each number in the sequence is greater than the previous one.

Identify the Rule:

• Look for a consistent difference (addition) between consecutive numbers.
• The difference could be constant (e.g., adding 3 each time: 2, 5, 8, 11…) or changing (e.g., adding 2, then 4, then 6: 1, 3, 7, 13…).

Steps to Complete the Pattern:

• Find the Rule: Calculate the difference between the given numbers.
• Check for Consistency: Ensure the same rule applies to all given numbers in the pattern.
• Apply the Rule: Use the identified rule to extend the sequence.

Examples:

• Example 1: 10, 15, 20, __, __
  Rule: Add 5 each time. Next numbers: 25, 30.
• Example 2: 1, 2, 4, 8, __, __
  Rule: Multiply by 2 each time. Next numbers: 16, 32.

Strategies to Solve:

• Write down the differences or ratios between numbers to spot the pattern.
• Use trial and error if the rule isn’t obvious.
• Double-check your work by applying the rule backward to ensure consistency.

Types of Increasing Patterns:

• Arithmetic Patterns: Add a fixed number (e.g., +3, +10).
• Geometric Patterns: Multiply by a fixed number (e.g., ×2, ×3).
• Mixed Patterns: Combine rules (e.g., add 2, then add 4, then add 6).

Learn with an example

Let’s practice!🖊️