
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 ${\{a_n\}}$ with the sum of its first $n$ terms denoted as $S_n$, where $a_1 = 1$, $a_2 = 2$, and for any $n > 1, n \in \mathbb{N}$, the relationship $S_{n+1} + S_{n-1} = 2(S_n + 1)$ holds, calculate the value of $S_{10}$.

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