
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 sequences $\{a\_n\}$ and $\{b\_n\}$ satisfying $a\_n= \frac {3+(-1)^{n+1}}{2}$, $a_{n+1}b\_n+a\_nb_{n+1}=(-1)^{n}+1$, where $n∈N^{*}$, and $b\_1=2$, find $S_{99}$, the sum of the first $99$ terms of the sequence $\{b\_n\}$.

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