
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 \(1, 3, 2, \ldots\), each term after the first two is equal to the preceding term subtracted by the term that comes before it, that is: if \(n > 2\) then \(a_{n} = a_{n-1} - a_{n-2}\). What is the sum of the first 100 terms of this sequence?

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