
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
Among the following sequences, which are both increasing and infinite sequences? (Fill in the question number)  
(1) 1, 2, 3, …, 20;  
(2) -1, -2, -3, …, -n, …;  
(3) 1, 2, 3, 2, 5, 6, …;  
(4) -1, 0, 1, 2, …, 100, …

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