
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
In the arithmetic sequence $\left\{ {{a}\_{n}} \right\}$, $({a}\_{3}+{a}\_{5}+2{a}\_{10}=8 )$, find the sum of the first $13$ terms.

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