
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
An iterative average of the numbers 1, 2, 3, 4, 5, and 6 is computed in the same manner as previously described. The numbers are arranged in a certain order, and their mean is calculated iteratively from the first two, then including the third, continuing until the sixth number is also averaged in. What is the difference between the largest and smallest possible results that can be computed using this method?
A) 2.81
B) 3.0625
C) 4
D) 4.25

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