
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
Calculate which term $A_k$ in the expansion of $(1 + 0.3)^{500}$ by the binomial theorem is the largest, where $A_k = {500 \choose k}(0.3)^k$ for $k = 0, 1, 2, \ldots, 500$.

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