
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 series of circles has the sequence of radii decreasing geometrically as $1, \frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{1}{\sqrt{8}}, \frac{1}{4}, \dots$. Calculate the sum of the areas of these circles.
A) $2\pi$
B) $\frac{4\pi}{3}$
C) $\frac{\pi}{2}$
D) $4\pi$
E) None of these

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