
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 Incredible Hulk can triple the distance he jumps with each succeeding jump. His first jump is 3 meters, and the distances of his subsequent jumps form a geometric sequence with common ratio 3. Determine on which jump the Hulk will first be able to jump more than 1 kilometer (1,000 meters).

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