
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 the series $3 + \frac{3}{3} + \frac{1}{3} + \frac{1}{9} + \cdots$. Identify from the following statements which are correct:

(1) The sum approaches a finite value
(2) Every term of the series is greater than 1 after the first term
(3) The sum increases without limit
(4) The difference between the sum and 1 can be made smaller than any positive quantity no matter how small
(5) The difference between the sum and 1.5 can be made smaller than any positive quantity no matter how small
A) Only 1
B) Only 1 and 2
C) Only 4 and 5
D) Only 1 and 3
E) Only 5

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