
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 increasing sequence of positive integers $b_1, b_2, b_3, \dots$ satisfies
\[b_{n+2} = b_{n+1} + b_n\] for all $n \ge 1.$ If $b_8 = 100,$ find $b_9.$

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