
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
Each circle in a series has its radius determined by the following sequence: the first circle has a radius of $2$ inches, while each subsequent circle's radius is half that of the previous. If the circles continue indefinitely, what is the sum of their areas?
A) $\frac{12\pi}{3}$
B) $\frac{16\pi}{3}$
C) $\frac{20\pi}{3}$
D) $\frac{24\pi}{3}$
E) none of these

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