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:

  1. 2 - 1 = 1
  2. 1 + 1 = 2
  3. 2 + 8 = 10
  4. 10 - 9 = 1
  5. 1 + 1 = 2
  6. 2 + 1 = 3
  7. 3 + 1 = 4
  8. 4 + 3 = 7
  9. 7 - 0 = 7
  10. 7 - 6 = 1
  11. 1 + 2 = 3
  12. **?

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:

  1. What would happen if we changed the initial number in the sequence?
  2. How would the pattern evolve if the sequence involved multiplication instead of addition and subtraction?
  3. Can you identify a larger pattern across all steps in the sequence?
  4. What is the significance of alternating between addition and subtraction?
  5. 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