
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 sequence of circles where the radius of the first circle is $1$ inch, that of the second circle is $\frac{1}{3}$ inch, that of the third circle is $\frac{1}{9}$ inch, and so on indefinitely. Calculate the total sum of the areas of all the circles.
A) $\frac{5\pi}{6}$
B) $\frac{3\pi}{4}$
C) $\frac{9\pi}{8}$
D) $\pi$
E) $\frac{7\pi}{6}$

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