
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
Let a geometric progression with \( n \) terms have the first term \( a \), common ratio \( r \) where \( r > 1 \) and sum \( s \). Given that \( n = 5 \) and the first term \( a = 3 \), calculate the sum of the reversed sequence formed by replacing each term of the original progression with its reciprocal.
A) \( \frac{1}{s} \)
B) \( \frac{r^5}{s} \)
C) \( \frac{s}{r^4} \)
D) \( \frac{r^5 - 1}{3r^5(r - 1)} \)

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