
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
If the pattern in the diagram continues, what fraction of the eighth pentagon would be shaded? Each pentagon is divided into triangular sections based on its sequence number. The first pentagon is not shaded, the second pentagon has the first triangular number shaded, the third pentagon has the first pentagonal number shaded, and this pattern alternates between triangular and pentagonal numbers.
A) $\frac{9}{32}$
B) $\frac{10}{32}$
C) $\frac{11}{32}$
D) $\frac{12}{32}$
E) $\frac{13}{32}$

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