
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
The arithmetic sequence ${a_n}$ has a sum of $S_n$ for the first $n$ terms, with a common ratio $q \neq 1$. Given that $a_1 = 1$ and for any $n \in \mathbb{N}^*$, $a_{n+2} + a_{n+1} = 2a_n$, find the value of $S_5$.

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