
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
Let the strictly increasing sequence $\left\{a_{n}\right\}$ consist of positive integers with $a_{7}=120$ and $a_{n+2}=a_{n}+a_{n+1}$ for $n \in \mathbf{Z}_{+}$. Find $a_{8}=$.

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