
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
In the sequence $\{a_n\}$, if for any $n$, $a_n + a_{n+1} + a_{n+2}$ is a constant value ($n \in \mathbb{N}^*$), and $a_7 = 2$, $a_9 = 3$, $a_{98} = 4$, then the sum of the first 100 terms of this sequence, $S_{100}$, equals ____.

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