
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
There are 7 different positive integers arranged in ascending order to form an arithmetic sequence. It is known that the average of the first three numbers is 20, and the average of the last three numbers is 24. Find the average of the middle three numbers.

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