
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
Consider an iterative averaging of the numbers 2, 4, 6, 8, and 10 following this specific order. Start by finding the mean of the first two numbers, then the mean of that result with the third number, and continue this process until the last number. Calculate the difference between the highest and lowest possible values obtained by rearranging the sequence of these numbers before starting the iterative averaging.
A) 3
B) 3.875
C) 4.25
D) 8.125

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