
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 an infinite geometric series is $10$. The sum of the first two terms is $7$. Determine the first term of the progression.
**A)** $10(1 - \sqrt{\frac{3}{10}}) \quad$ **B)** $10(1 + \sqrt{\frac{3}{10}}) \quad$ **C)** $5 \quad$ **D)** $15$

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