
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 $3 + 1.5 + 0.75 + 0.375 + \cdots$, analyze the validity of the following statements:
(1) The sum converges to a finite value.
(2) The difference between any term of the series and zero can be made less than any positive number no matter how small.
(3) The sum approaches and becomes infinitely large.
(4) The sum approaches a limit less than 7.
(5) The difference between the sum and 6 can be made less than any positive quantity no matter how small.
A) Only 1 and 4
B) Only 1, 4, and 5
C) Only 5
D) Only 2 and 3
E) Only 3, 4, and 5

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