
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 a sequence $\{a_n\}$ that satisfies $a_1=2$, $a_2=1$, and $\frac{a_{n-1} - a_n}{a_{n-1}} = \frac{a_n - a_{n+1}}{a_{n+1}} (n \geqslant 2)$, find the value of the 10th term in the sequence.

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