
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 binomial expansion of ${(x-\frac{1}{2})^{n}}$ where $n \in \mathbb{N}^*$, let $a_n$ and $b_n$ be the sum of binomial coefficients and the sum of the coefficients of each term, respectively. Find the value of $\frac{a_1}{b_1} + \frac{a_2}{b_2} + \cdots + \frac{a_n}{b_n}$.

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