
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 to infinity of the terms of an infinite geometric progression is $8$. The sum of the first two terms is $5$. Determine the first term of the progression.
**A)** \(2(4 - \sqrt{6})\)  
**B)** \(2(4 + \sqrt{6})\)  
**C)** \(4 - \sqrt{6}\)  
**D)** \(4 + \sqrt{6}\)  
**E)** None of these

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