
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
Find the pattern in the following sequences and fill in the blanks with appropriate numbers.  
(1) 14, 17, 20, 23, 26, \_\_\_\_\_\_, \_\_\_\_\_\_  
(2) 2, 4, 8, 16, 32, \_\_\_\_\_\_, \_\_\_\_\_\_  
(3) 2, 3, 5, 8, 13, 21, \_\_\_\_\_\_  
(4) 1, 4, 9, 16, 25, \_\_\_\_\_\_, 49.

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