
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: $$\frac {x^{2}}{a^{2}}$$+ $$\frac {y^{2}}{b^{2}}$$\=1 (a>b>0) passing through the point (1, - $$\frac { \sqrt {6}}{3}$$) with an eccentricity of $$\frac { \sqrt {6}}{3}$$.
(I) Find the standard equation of the ellipse C.
(II) If the line y=k(x-1) intersects the ellipse C at points P and Q, and N(3,2), let k$_{PN}$ and k$_{QN}$ be the slopes of the lines PN and QN, respectively. Investigate whether k$_{PN}$+k$_{QN}$ is a constant value. If it is, find this value; if not, explain why.

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