
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 $\{a_n\}$, and the sequence $\{a_n\}$ satisfies the condition
$$ \frac {1}{a_{1}} + \frac {1}{2 \cdot a_{2}} + \frac {1}{2^{2} \cdot a_{3}} + \ldots + \frac {1}{2^{n-1} \cdot a_{n}} = 2n \quad (n \in \mathbb{N^*}) $$
find the value of $S_5$.

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