
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 point $P( \frac {5}{2}， \frac {3}{2})$ on the ellipse $C： \frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1(a＞b＞0)$ with foci $F_1(-2，0)$ and $F_2(2，0)$.

1. Find the equation of the ellipse $C$.
2. A line $m$ passing through $F_2$ intersects $C$ at two points $A$ and $B$, and intersects the $y$-axis at point $M$. If $\overrightarrow{MA}=λ_{1} \overrightarrow{AF_{2}}$ and $\overrightarrow{MB}=λ_{2} \overrightarrow{BF_{2}}$, with $λ_1λ_2=1$, find $λ_1$ and $λ_2$.

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