Add 7. Double the result. Subtract 10. Divide by 2. Subtract the original selected number. The first number is 2. The 2nd is 6. The 3rd is 8 and the 4th is 11.

Let's analyze the sequence of operations you've described and apply it to the four given numbers: 2, 6, 8, and 11.

### Step-by-Step Calculation
1. **Add 7** to the number.
2. **Double the result.**
3. **Subtract 10.**
4. **Divide by 2.**
5. **Subtract the original selected number.**

Let's apply these operations to each of the four numbers one by one:

1. **For the number 2:**
   - Add 7: \( 2 + 7 = 9 \)
   - Double the result: \( 9 \times 2 = 18 \)
   - Subtract 10: \( 18 - 10 = 8 \)
   - Divide by 2: \( 8 \div 2 = 4 \)
   - Subtract the original number: \( 4 - 2 = 2 \)

2. **For the number 6:**
   - Add 7: \( 6 + 7 = 13 \)
   - Double the result: \( 13 \times 2 = 26 \)
   - Subtract 10: \( 26 - 10 = 16 \)
   - Divide by 2: \( 16 \div 2 = 8 \)
   - Subtract the original number: \( 8 - 6 = 2 \)

3. **For the number 8:**
   - Add 7: \( 8 + 7 = 15 \)
   - Double the result: \( 15 \times 2 = 30 \)
   - Subtract 10: \( 30 - 10 = 20 \)
   - Divide by 2: \( 20 \div 2 = 10 \)
   - Subtract the original number: \( 10 - 8 = 2 \)

4. **For the number 11:**
   - Add 7: \( 11 + 7 = 18 \)
   - Double the result: \( 18 \times 2 = 36 \)
   - Subtract 10: \( 36 - 10 = 26 \)
   - Divide by 2: \( 26 \div 2 = 13 \)
   - Subtract the original number: \( 13 - 11 = 2 \)

### Conclusion
No matter which number you start with (2, 6, 8, or 11), the final result is always 2. 

This happens because the sequence of operations is designed to always yield a fixed number, regardless of the initial input.

Would you like more details or have any questions?

### Related Questions
1. What is the algebraic formula that represents these operations?
2. How

Explore the sequence of arithmetic operations involving addition, doubling, subtraction, division, and the subtraction of the original number. Understand how this sequence consistently yields a fixed result across different initial numbers (2, 6, 8, and 11). Suitable for students in Grades 6-8.

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