
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
A sequence of numbers is defined using the relation
$$
a_{n} = -a_{n-1} + 6a_{n-2}
$$
where \( a_1 = 2 \) and \( a_2 = 1 \). Find \( a_{100} + 3a_{99} \).

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