
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 is calculated using the numbers 1, 4, 9, 16, and 25 arranged in some order. Find the mean of the first two numbers, then find the mean of that result with the third number, continuing this way until the fifth number is included. What is the difference between the largest and smallest possible values that can be obtained using this procedure?
A) 12.25
B) 12.50
C) 12.75
D) 13.00

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