
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 the sequence:
$$
\begin{array}{l}
\frac{2}{3}, \frac{2}{9}, \frac{4}{9}, \frac{6}{9}, \frac{8}{9}, \frac{2}{27}, \frac{4}{27}, \cdots, \frac{26}{27}, \cdots, \frac{2}{3^{n}}, \\
\frac{4}{3^{n}}, \cdots, \frac{3^{n}-1}{3^{n}}, \cdots . \\
\quad \text { Find which term of the sequence is } \frac{2020}{2187}.
\end{array}
$$

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