
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
Alexis notices Joshua working with Dr. Lisi and decides to join in on the fun.  Dr. Lisi challenges her to compute the sum of all  $2008$  terms in the sequence.  Alexis thinks about the problem and remembers a story one of her teahcers at school taught her about how a young Karl Gauss quickly computed the sum \[1+2+3+\cdots+98+99+100\] in elementary school.  Using Gauss's method, Alexis correctly finds the sum of the  $2008$  terms in Dr. Lisi's sequence.  What is this sum?

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