
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 sequence $\{a_n\}$, the "mean of the reciprocals" of the first $n$ terms is $\frac{1}{5n}$, and $b_n=\frac{a_n}{5}$, calculate the value of $\frac{1}{{{b_1}{b_2}}}+ \frac{1}{{{b_2}{b_3}}}+⋯ + \frac{1}{{{b_{10}}{b_{11}}}$.

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