
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 an arithmetic sequence $\{a\_n\}$ with a common difference of $1$, the terms $a\_1$, $a\_3$, and $a\_6$ form a geometric sequence. Calculate the sum of the first $10$ terms in the sequence $\{a\_n\}$.
A) $65$
B) $80$
C) $85$
D) $170$

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