
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 of numbers $a_1, a_2, a_3, \ldots, a_{98}, a_{99}, a_{100}$, where $a_3 = 9$, $a_7 = -7$, $a_{98} = -1$, and it satisfies that the sum of any three consecutive numbers is a constant, calculate the value of $a_1 + a_2 + a_3 + \ldots + a_{98} + a_{99} + a_{100}$.

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