
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 population of raccoons in a forested area increases such that the difference between the populations in year $n+2$ and year $n$ is directly proportional to twice the population in year $n+1$. Due to a natural disaster, the population in year $1998$ was halved from what it would have been without the disaster. If the populations in the years $1994$, $1995$, and $1997$ were $50$, $75$, and $110$, respectively, determine the population in $1996$.
A) $25 + 5\sqrt{125}$  
B) $30 + \sqrt{130}$  
C) $25 + 5\sqrt{130}$  
D) $25 + 7\sqrt{120}$  
E) $20 + 6\sqrt{135}$

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