
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 square is drawn with a side 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; and so on forever. Calculate the limit of the sum of the perimeters of all the squares thus drawn.
A) $6s$
B) $7s$
C) $8s$
D) $9s$
E) $10s$

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