
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
In a geometric sequence, the first term is $\frac{9}{8}$, the last term is $\frac{1}{3}$, and the common ratio is $\frac{2}{3}$. The number of terms $n$ equals \_\_\_\_\_\_.

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