
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 the increasing sequence of positive integers \(a_{1}, a_{2}, a_{3}, \cdots\) satisfies the recurrence relation \(a_{n+2} = a_{n} + a_{n+1}\) for \(n \geq 1\), and \(a_{7} = 120\), find the value of \(a_{8}\).

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