
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a sequence of numbers 2, 4, 6, 8, 10, compute the iterative average as follows: Add 1 to each number, then arrange the modified numbers in some order, and find the difference between the largest and smallest possible values that can be obtained using this procedure.

Present the answer in LaTex format: \boxed{Your answer}
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