
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 sequence $\{b\_n\}$ with the general term formula $b\_n=n$, find the value of $\frac{1}{b\_1b\_3} + \frac{1}{b\_3b\_5} + ... + \frac{1}{b\_{2n-1}b\_{2n+1}} = \_\_\_\_\_\_\_\_\_.$

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