
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
A sequence consists of $4020$ terms. Each term after the first is 2 larger than the previous term. The sum of the $4020$ terms is $10614$. When every second term is added up, starting with the first term and ending with the second last term, what is the sum?

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