
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 the sequence ${a_{n}}$, where $a_{n}=2\cdot3^{n-1}\left( n\in\mathbb{N}^{*} \right)$, and $b_{n}= \frac{a_{n+1}}{S_{n}S_{n+1}}$, find the sum of $b_{1}+b_{2}+…+b_{n}=\_\_\_\_\_\_\_\_\_\_.$

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