
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
Professor Raquel invented the following game: write a number on the board, if it is odd add 3 units to the number, and if it is even divide the number by 2.

This operation can be done several times. The professor is interested in obtaining the number 1 at the end and asked the class: How to obtain the number 1 after 3 operations? And after 4 operations? And after 5 operations?

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