
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
Given the series $3 + \frac{3}{4} + \frac{3}{16} + \frac{3}{64} + \cdots$, evaluate the following statements:
1. The sum increases beyond any large number.
2. The sum decreases beyond any small negative number.
3. The individual terms of the sequence can be made arbitrarily close to zero.
4. The difference between the sum and 4.5 can be made less than any small positive quantity.
5. The sum converges to a specific limit.

Which statements are correct?
A) Only 1 and 2
B) Only 3
C) Only 3 and 5
D) Only 4
E) Only 5

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