
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
Sequence $A$ is a geometric sequence starting with $3$. Sequence $B$ is an arithmetic sequence starting with $10$. Each sequence stops as soon as one of its terms is greater than $300$. Find the least positive difference between a number selected from sequence $A$ and a number selected from sequence $B$.

$\bullet$ Sequence $A$: 3, 6, 12, 24, 48, 96, 192, 384 (stops at 384 as it is greater than 300).

$\bullet$ Sequence $B$: 10, 30, 50, 70, 90, 110, 130, 150, 170, 190, 210, 230, 250, 270, 290, 310 (stops at 310 as it is greater than 300).

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