
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
The sum of an infinite geometric series with a common ratio \( |q| < 1 \) is 16, and the sum of the squares of the terms of this series is 153.6. Find the fourth term and the common ratio of the series.

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