
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 $\frac{3}{4}$ inch, that of the third $\frac{9}{16}$ inch, and so on indefinitely. Calculate the sum of the areas of these circles.
**A)** $\frac{16\pi}{7}$  
**B)** $\frac{14\pi}{3}$  
**C)** $\frac{12\pi}{5}$  
**D)** $\frac{15\pi}{4}$

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