
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
A factory has three types of products: Type A, Type B, and Type C, whose quantities form a geometric sequence with a common ratio of 2. Now, a stratified sampling method is to be used to draw 140 pieces for quality inspection. How many pieces of Type B products should be drawn?

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