
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 the ellipse C: $\frac {x^{2}}{a^{2}}+\frac {y^{2}}{b^{2}}=1$ (a>b>0) has two foci $F_1$(-1, 0) and $F_2$(1, 0), and P(1, $\frac {3}{2}$) is a point on the ellipse C, calculate the eccentricity of the ellipse C.

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