
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
Consider a sequence where $F(n+1) = \frac{3F(n) + 1}{3}$ for $n = 1, 2, \ldots$, and $F(1) = 3$. Find the value of $F(50)$.
**A)** $17\frac{1}{3}$
**B)** $19\frac{1}{3}$
**C)** $18\frac{1}{3}$
**D)** $20\frac{1}{3}$

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