
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
The number of tigers in a forest reserve grows such that the difference between the populations in year $n+2$ and year $n$ is directly proportional to the population in year $n+1$. If the populations in the years $2004$, $2005$, and $2007$ were $120$, $220$, and $500$, respectively, determine the population in $2006$.
A) 280
B) 315
C) 350
D) 400

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