What number completes the pattern? Note that there is a single algebraic equation (limited to the basic arithmetic operations of addition, subtraction, multiplication, and division... What number completes the pattern? Note that there is a single algebraic equation (limited to the basic arithmetic operations of addition, subtraction, multiplication, and division) that repeats across all rows.
Understand the Problem
The question asks to identify the missing number in a pattern. The pattern follows an algebraic equation using basic arithmetic operations across all rows and columns. To solve this, you need to analyze the existing numbers to determine the repeating equation and then apply it to find the missing number.
Answer
36
Answer for screen readers
36
Steps to Solve
- Analyze the given pattern
We need to find a mathematical relationship between the numbers in each row and column. Let's observe the numbers provided.
- Identify the relationship in the first row
Looking at the first row, we have 6, 2, and 12. Let's see how they could be related through basic operations: $6 \times 2 = 12$.
- Verify the relationship in the second row
In the second row, we have 8, 3, and 24. Testing the multiplication relationship: $8 \times 3 = 24$. The relationship holds true.
- Apply the relationship to the third row
In the third row, we have 9, 4, and a missing number. Following the established pattern, we multiply the first two numbers: $9 \times 4 = 36$.
- State the missing number
Therefore, the missing number is 36.
36
More Information
This problem uses pattern recognition and basic algebraic thinking to solve. The pattern relies on multiplication.
Tips
A common mistake is to misidentify the pattern. Some might try addition or subtraction and fail to see the multiplicative relationship. It's important to test a hypothesis on multiple rows to confirm it.
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