
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
Determine the sum of the series given by $\sum_{n=1}^{100} \frac{1}{(2n-1)(2n+1)}$.
A) $\frac{99}{200}$
B) $\frac{100}{201}$
C) $\frac{128}{255}$
D) $\frac{128}{257}$

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