
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 "Fibonacci sequence" is a famous sequence in the history of mathematics. For the Fibonacci sequence $\{a_n\}$, where $a_1 = 1$, $a_2 = 1$, and $a_{n+2} = a_{n+1}+a_n$ for $n \in \mathbb{N}^*$, find the value of $a_8$. Additionally, if $a_{2018} = m^2+1$, express the sum of the first 2016 terms of the sequence $\{a_n\}$ in terms of $m$.

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