
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
Calculate the sum:
\[
\sum_{n=1}^{1000} \left( 3 \cdot \frac{1}{t_n} \right)
\]
where $t_n = \frac{n(n+1)}{2}$ is the $n$th triangular number.
A) $\frac{6000}{1001}$
B) $\frac{5994}{1001}$
C) $\frac{2002}{1001}$
D) $\frac{3003}{1001}$

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