
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. Sequence \(B\) is an arithmetic sequence. Each sequence stops as soon as one of its terms is greater than \(450\). What is the least positive difference between a number selected from sequence \(A\) and a number selected from sequence \(B\)?
   
\(\bullet\) Sequence \(A:\) \(5,\) \(15,\) \(45,\) \(135,\) \(\ldots\)

\(\bullet\) Sequence \(B:\) \(30,\) \(70,\) \(110,\) \(150,\) \(\ldots\)

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