Add 7. Double the result. Subtract 10. Divide by 2. Subtract the original selected number. The first number is 1. The 2nd is 6. The 3rd is 9 and the 4th is 11.

Let's analyze the sequence of operations described:

1. **Add 7** to the original number.
2. **Double the result** from step 1.
3. **Subtract 10** from the result of step 2.
4. **Divide by 2** the result of step 3.
5. **Subtract the original number** from the result of step 4.

Let's use this process on each number and see if it holds true.

### For 1:
1. \(1 + 7 = 8\)
2. \(8 \times 2 = 16\)
3. \(16 - 10 = 6\)
4. \(\frac{6}{2} = 3\)
5. \(3 - 1 = 2\)

### For 6:
1. \(6 + 7 = 13\)
2. \(13 \times 2 = 26\)
3. \(26 - 10 = 16\)
4. \(\frac{16}{2} = 8\)
5. \(8 - 6 = 2\)

### For 9:
1. \(9 + 7 = 16\)
2. \(16 \times 2 = 32\)
3. \(32 - 10 = 22\)
4. \(\frac{22}{2} = 11\)
5. \(11 - 9 = 2\)

### For 11:
1. \(11 + 7 = 18\)
2. \(18 \times 2 = 36\)
3. \(36 - 10 = 26\)
4. \(\frac{26}{2} = 13\)
5. \(13 - 11 = 2\)

### Summary
In each case, the final result after performing the operations is always **2**.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:
1. How would the result change if the original number was negative?
2. What happens if you change the operations, such as adding or subtracting different values?
3. Can you develop a general formula for this sequence of operations?
4. How would the result differ if you changed the order of operations?
5. What if you replaced the multiplication by 2 with multiplication by 3?

**Tip:** When working with sequences of operations, it's often helpful to write down each step to see patterns more easily.

Explore the sequence of arithmetic operations involving addition, doubling, subtraction, and division. Learn how each number, when subjected to these operations, results in a consistent outcome. Suitable for students in Grades 5-6.

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