Let $x = -1$. Find $$x + x^2 + x^3 + \cdots + x^{2010} + x^{2011}.$$
Question:
Let $x = -1$. Find $$x + x^2 + x^3 + \cdots + x^{2010} + x^{2011}.$$
Answer:
Let's think step by step.

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Let $x = -1$. Find $$x + x^2 + x^3 + \cdots + x^{2010} + x^{2011}.$$
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