
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
Given a sequence of monomials arranged according to a certain rule: $a$, $3a^{2}$, $5a^{3}$, $7a^{4}$, $9a^{5}$, $\ldots$. Determine the general form of the $n$th monomial.

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