Math Problem Statement
What is the working to solve this math problem to find the next missing number: 2 -1=1 +1=2 +8=10 -9=1 +1=2 2+1=3 +1=4 +3=7 -0=7 -6=1 +2=3 _?
Solution
To solve this sequence, we need to carefully analyze the pattern step by step, following the operations described.
Let's break down the sequence and follow each operation:
- 2 - 1 = 1
- 1 + 1 = 2
- 2 + 8 = 10
- 10 - 9 = 1
- 1 + 1 = 2
- 2 + 1 = 3
- 3 + 1 = 4
- 4 + 3 = 7
- 7 - 0 = 7
- 7 - 6 = 1
- 1 + 2 = 3
- **?
Now, let's analyze the steps to find the next missing number:
- Every operation alternates between adding and subtracting (or keeping the number the same, as in step 9).
- The numbers added or subtracted are small, typically between 0 and 9.
The last number in the sequence is 3 after 1 + 2 = 3. To predict the next operation:
- Based on the alternating pattern, the next operation should be addition.
- The addition value could be 1 or 3, as these were used frequently earlier in the sequence.
Thus, following the observed pattern:
- 3 + 1 = 4
Therefore, the next missing number is 4.
Would you like more details or have any questions? Here are some related questions to think about:
- What would happen if we changed the initial number in the sequence?
- How would the pattern evolve if the sequence involved multiplication instead of addition and subtraction?
- Can you identify a larger pattern across all steps in the sequence?
- What is the significance of alternating between addition and subtraction?
- How does the presence of "0" and "1" in the sequence influence the operations?
Tip: Always look for alternating or repeating operations in number sequences to spot hidden patterns.
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Math Problem Analysis
Mathematical Concepts
Number Sequences
Arithmetic Operations
Formulas
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Theorems
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Suitable Grade Level
Grades 5-7
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