
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 of
$$
\frac{1}{2 \times 5}+\frac{1}{5 \times 8}+\frac{1}{8 \times 11}+\cdots+\frac{1}{2009 \times 2012}.
$$
(a) $\frac{335}{2012}$
(b) $\frac{545}{2012}$
(c) $\frac{865}{2012}$
(d) $\frac{1005}{2012}$

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