
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
Find the sum:

$$
\frac{2}{1 \cdot 2 \cdot 3}+\frac{2}{2 \cdot 3 \cdot 4}+\frac{2}{3 \cdot 4 \cdot 5}+\ldots+\frac{2}{2008 \cdot 2009 \cdot 2010}
$$

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