
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 of positive terms $\{a_{n}\}$ that satisfies $a_{m}\cdot a_{n}=2a_{m+n}$, where $m$, $n\in N^{*}$, and $a_{1}=1$, find the sum of the first 5 terms of the sequence, denoted as $S_{5}$.

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