
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
Let \( t_n = \frac{n(n+1)}{2} \) be the \( n \)th triangular number. Find the value of the following expression:
\[
\frac{1}{t_1} + \frac{1}{t_2} + \frac{1}{t_3} + ... + \frac{1}{t_{1000}} + 1
\]
A) \(\frac{3003}{1001}\)
B) \(\frac{3002}{1001}\)
C) \(\frac{3001}{1001}\)
D) \(\frac{3000}{1001}\)

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