
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
Consider a sequence $\{a_n\}$ where if $a_{n+1} = a_n + a_{n+2}$ for all $n \in \mathbb{N}^*$, it is known as a "convex sequence". Let $\{b_n\}$ be a convex sequence with $b_1 = 1$ and $b_2 = -2$. Determine the sum of the first 2014 terms of the sequence $\{b_n\}$.

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