
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
The number of subsets of the sets $\{a_1\}$, $\{a_1, a_2\}$, $\{a_1, a_2, a_3\}$, ..., can be used to deduce the number of subsets of the set $\{a_1, a_2, a_3, \ldots, a_n\}$.

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