
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
In the Cartesian coordinate system, there are points $P_{1}, P_{2}, \ldots, P_{n-1}, P_{n}, \ldots (n \in \mathbb{N}^{*})$. Let the coordinates of point $P_{n}$ be $(n, a_{n})$, where $a_{n}= \frac {2}{n} (n \in \mathbb{N}^{*})$. The line passing through points $P_{n}$ and $P_{n+1}$ forms a triangle with the coordinate axes, and the area of this triangle is $b_{n}$. Let $S_{n}$ represent the sum of the first $n$ terms of the sequence $\{b_{n}\}$. Then, $S_{5}=$ \_\_\_\_\_\_.

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