
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 and sequence \(B\) is an arithmetic sequence. Each sequence stops as soon as one of its terms is greater than \(300\). What is the least positive difference between a term from sequence \(A\) and a term from sequence \(B\)?

\(\bullet\) Sequence \(A\): \(3\), \(9\), \(27\), \(81\), \(243\), \(\ldots\)

\(\bullet\) Sequence \(B\): \(100\), \(110\), \(120\), \(130\), \(\ldots\)

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