
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
Given that the sum of the first n terms of a geometric sequence is S_n, and a_1 + a_3 = 5/2, a_2 + a_4 = 5/4, find the value of S_n / a_n.

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