Complete a geometric number pattern
key notes :
Definition of Geometric Number Patterns:
- A geometric number pattern is a sequence of numbers where each term is multiplied (or divided) by a constant factor to get the next term.
- Example: 2, 4, 8, 16, … (Each term is multiplied by 2).
Identify the Pattern:
- Look at how the numbers change from one term to the next.
- Identify the constant factor (e.g., multiply by 2, divide by 3).
Key Vocabulary:
- Term: Each number in the sequence.
- Common Ratio: The constant number used to multiply or divide.
- Sequence: A list of numbers arranged in a specific order.
Steps to Complete a Geometric Pattern:
- Step 1: Examine the sequence to find the pattern.
- Step 2: Determine the common ratio (multiplication or division factor).
- Step 3: Apply the common ratio to find the missing numbers.
- Step 4: Double-check by applying the ratio to verify the sequence.
Examples:
- Example 1: 3, 6, 12, 24, ___, ___
Common Ratio = 2. Multiply each term by 2 to get 48, 96. - Example 2: 81, 27, 9, 3, ___, ___
Common Ratio = 1/3. Divide each term by 3 to get 1, 1/3.
Learn with an example
📘 Type the missing number in this sequence:
1,_______, 9, 27, 81, 243
First, look for a pattern. Notice how each number is 3 times the previous number:
- 1, __, 9, 27, 81, 243
Multiply 1 by 3 to find the missing number:
- 1 × 3 = 3
To make the pattern complete, the number 3 must go in the blank space.
📘 Type the missing number in this sequence:
1, 3, 9, 27,____
First, look for a pattern. Notice how each number is 3 times the previous number:
- 1, 3, 9, 27, __
Multiply 27 by 3 to find the missing number:
- 27 × 3 = 81
To make the pattern complete, the number 81 must go in the blank space.
📘 Type the missing number in this sequence:
1, 2,______, 8, 16
First, look for a pattern. Notice how each number is 2 times the previous number:
- 1, 2, __, 8, 16
Multiply 2 by 2 to find the missing number:
- 2 × 2 = 4
To make the pattern complete, the number 4 must go in the blank space.
Let’s practice!🖊️
