
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
The average of the first 300 terms of the sequence $2, -4, 6, -8, 10, -12, \ldots,$ can be found by calculating the sum of the first 300 terms and dividing by 300, where the nth term of the sequence is given by $(-1)^{n+1}\cdot 2n$.

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