
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
In a finite sequence of real numbers, the sum of any three consecutive terms is negative, and the sum of any four consecutive terms is positive. Find the maximum number of terms \( r \) in this sequence.

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