
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
Let sequence \( C \) be a geometric sequence and sequence \( D \) be an arithmetic sequence. Each sequence stops as soon as one of its terms is greater than \( 200 \).

- Sequence \( C: \) \( 3, 6, 12, 24, 48, \ldots \)
- Sequence \( D: \) \( 15, 30, 45, 60, 75, \ldots \)

What is the least positive difference between a number selected from sequence \( C \) and a number selected from sequence \( D \)?

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