
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, 3, 5, 7, and 9 is computed as follows: Arrange the five numbers in some order, compute the mean of the first two numbers, then the mean of that result with the third number, and so on until the mean includes the fifth number. What is the difference between the largest and smallest possible values that can be obtained through this procedure?
A) \(3.5\)
B) \(4\)
C) \(4.25\)
D) \(4.5\)
E) \(5\)

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