
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 all the finite sequences with  $ n$  consecutive natural numbers  $ a_1, a_2,..., a_n$ , with  $ n\geq3$  such that  $ a_1\plus{} a_2\plus{}...\plus{} a_n\equal{}2009$ .

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