
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
Given the function $f(n)= \begin{cases}n^{2},{\text{ when }}n{\text{ is odd}} \\ -n^{2},{\text{ when }}n{\text{ is even}}\end{cases}$ and $a\_n=f(n)+f(n+1)$, find the value of $a\_1+a\_2+a\_3+…+a\_{100}$.

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