
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
Let $T_n=2-3+4-5+\cdots +(-1)^{n}n$ for all integers $n=2,3,\cdots$. Calculate the sum $T_{20} + T_{36} + T_{45}$.
A) -18
B) -10
C) 5
D) -5

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