
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
(1) 2, 4, 6, 8, 10, \_\_\_\_\_\_, \_\_\_\_\_\_  
(2) 3, 6, 12, 24, 48, \_\_\_\_\_\_, 192, …  
(3) 36, 11, 38, 13, 40, 15, 42, 17, \_\_\_\_\_\_, \_\_\_\_\_\_．

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