
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 $M(1)=-2,M(2)=(-2)×(-2),M(3)=(-2)×(-2)×(-2),…M(n)= \left(-2\right)×\left(-2\right)×⋯×\left(-2\right)\{n\text{ times}\}$,
(1) Calculate: $M_{(5)}+M_{(6)}$;
(2) Find the value of: $2M_{(2015)}+M_{(2016)}$;
(3) Explain why $2M_{(n)}$ and $M_{(n+1)}$ are additive inverses of each other.

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