
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 a first term \( a \), a common ratio \( q \), and sum \( t \), where \( a \geq 5 \), \( q \) and \( t \) are not zero. The sum of the geometric progression formed by replacing each term of the original progression by its reciprocal is?
A) \( \frac{t}{a} \)
B) \( \frac{t}{q^n} \)
C) \( \frac{t}{a q^{n-1}} \)
D) \( tq^{n-1} \)
E) \( \frac{q^n}{t} \)

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