
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 an ellipse C with foci on the x-axis, passing through the point (2, 0) and having an eccentricity of $\frac{1}{2}$:

1. Find the standard equation of ellipse C.
2. An active line m passes through the right focus F of ellipse C, intersecting the ellipse at two distinct points A and B, and intersecting the y-axis at point M. Given $\overrightarrow{MA} = λ\overrightarrow{AF}$ and $\overrightarrow{MB} = μ\overrightarrow{BF}$, investigate whether the sum λ + μ is a constant value. If so, find the value of λ + μ. If not, provide a reason.

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