
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 turtles in a pond increases so 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 $2000$, $2001$, and $2003$ were $58$, $92$, and $179$, respectively, then what was the population in year $2002$?
A) 117
B) 121
C) 123
D) 125
E) 127

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