
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 a sequence $\{a_n\}$ which is an arithmetic sequence with the first term $1$ and common difference $2$, and a sequence $\{b_n\}$ satisfying $\frac{a_1}{b_1}+\frac{a_2}{b_2}+\frac{a_3}{b_3}+\ldots+\frac{a_n}{b_n}=\frac{1}{2^n}$, determine the value of the sum of the first $5$ terms of sequence $\{b_n\}$.

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