
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 that $a\_n=2^{n-2}$, and the sequence $\{b\_n\}$ satisfies $b\_n=(\log\_2 a\_{2n+1})\times(\log\_2 a\_{2n+3})$, find the sum of the first $n$ terms of the sequence $\{\frac{1}{b\_n}\}$.

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