
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 that O is the coordinate origin, and the left and right foci of the ellipse C: $$\frac {x^{2}}{a^{2}}$$ + $$\frac {y^{2}}{b^{2}}$$ = 1 (a > b > 0) are F1 and F2 respectively, the right vertex is A, and the upper vertex is B. If |OB|, |OF2|, |AB| form a geometric sequence, and the maximum value of the distance from a point on the ellipse C to the focus F2 is 2$$\sqrt {6}$$ + 4.

(1) Find the standard equation of the ellipse C;
(2) Find the range of |MN| + |PQ|, where MN and PQ are two mutually perpendicular chords passing through the right focus of the ellipse.

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