Answer
See below
Work Step by Step
The first three iterations are:
$$x_1=f(x_0)=x^2_0-8=2^2-8=-4\\x_2=f(x_1)=x_1^2-8=(-4)^2-8=8\\x_3=f(x_2)=x_2^2-8=8^2-8=56$$
The sum is $-4+8+56=60$
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