
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 E: $$\frac {x^{2}}{a^{2}} + \frac {y^{2}}{b^{2}} = 1 \ (a>b>0)$$ with an eccentricity of $$\frac{\sqrt{3}}{2}$$, find:
(Ⅰ) The equation of the ellipse E if the area of the quadrilateral formed by sequentially connecting the four vertices of the ellipse E is 16.
(Ⅱ) The slope of the line l passing through the vertex P(0, b) of the ellipse E that intersects the ellipse at another point M and intersects the x-axis at point N, if |PN|, |PM|, and |MN| form a geometric sequence.

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