
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
Consider a square where each side is of length $s$. A new square is formed by joining the midpoints of the sides of the first square. Then a third square is formed by joining the midpoints of the sides of the second square, and so on indefinitely. If you form the sequence of squares indefinitely, what is the limit of their combined perimeters?
A) $4s$  
B) $6s$  
C) $8s$  
D) $10s$  
E) Infinite

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