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. 9 1 6 4 4 5 7 2 5 8 8 5 1 3 5 ?
Understand the Problem
The question asks to identify the pattern in a grid of numbers where each row follows a single repeating arithmetic operation (addition, subtraction, multiplication, or division). We need to find the missing number based on this pattern.
Answer
-1
Answer for screen readers
-1
Steps to Solve
- Analyze the first row: 9 1 6 4
We need to identify a pattern using basic arithmetic operations that connects these numbers. Let's test a few possibilities. Notice that $9 - 1 = 8$ and $6 - 4 = 2$. But 8 and 2 don't have an obvious relationship. What about $9 + 1 = 10$ and $6 + 4 = 10$. This looks promising. 2. Analyze the second row: 4 5 7 2
Check if the $a + b = c + d$ pattern works. $4 + 5 = 9$ and $7 + 2 = 9$. It works! 3. Analyze the third row: 5 8 8 5
Check if the $a + b = c + d$ pattern works. $5 + 8 = 13$ and $8 + 5 = 13$. It works! 4. Apply the pattern to the fourth row: 1 3 5 ?
Let $x$ be the missing number. We have $1 + 3 = 5 + x$. 5. Solve for $x$
$4 = 5 + x$ $x = 4 - 5$ $x = -1$
-1
More Information
The pattern $a + b = c + d$ holds true throughout the number grid.
Tips
A common mistake would be to assume a more complex relationship between the numbers, when a simple pattern of addition is sufficient to solve the problem. Another mistake would be making arithmetic errors when computing sums and differences.
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