
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 $S_{n}$ is the sum of the first $n$ terms of a geometric sequence ${a_{n}}$, and $a_{1}=8$, $S_{3}+3a_{4}=S_{5}$.
1. Find the general term formula for the sequence ${a_{n}}$.
2. If $b_{n}=\log _{2}(a_{n}\cdot a_{n+1})$, $c_{n}= \frac {1}{b_{n}\cdot b_{n+1}}$, let $P_{n}$ and $Q_{n}$ be the sum of the first $n$ terms of the sequences ${b_{n}}$ and ${c_{n}}$ respectively. Find $P_{n}$ and $Q_{n}$.

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