
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
The radius of the first circle is $1$ inch, that of the second $\frac{1}{3}$ inch, that of the third $\frac{1}{9}$ inch, and so on indefinitely. Determine the sum of the areas of these circles.
A) $\frac{9\pi}{7}$
B) $\frac{9\pi}{8}$
C) $\pi$
D) 3$\pi$
E) None of these

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