
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 $5$. What is the first term of the progression?
A) $8 \left(1 - \frac{\sqrt{6}}{4}\right)$
B) $8 \left(1 + \frac{\sqrt{6}}{4}\right)$
C) $8$
D) $6$
E) None of the above

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