
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 process is performed on the numbers 1, 2, 3, 4, 5, and 6 with a twist. Arrange the numbers in any sequence. Find the mean of the first two numbers, then the mean of that result with the third number, then add 2 to this result, continue the mean calculation with the fourth number, and finally compute the mean of that result with the fifth and sixth numbers consecutively.

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