
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 $m$ terms have the first term $a$ (where $a \neq 0$), common ratio $r$ (where $r \neq 1$), and sum $s$. The sum of the geometric progression formed by replacing each term of the original progression by its reciprocal is...?
A) $\frac{s}{a^m r^{m-1}}$
B) $\frac{s}{a r^{m-1}}$
C) $\frac{s}{a r^{m}}$
D) $\frac{s}{a r^{2m-1}}$
E) $\frac{r^m}{s}$

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