Answer
$-2+2^{2}-2^{3}+2^{4}+...+(-1)^{n}2^{n}$
Work Step by Step
$=(-2)^{1}+(-2)^{2}+(-2)^{3}+(-2)^{4}+...+(-2)^{n}$
$=-2+2^{2}-2^{3}+2^{4}+...+(-1)^{n}2^{n}$
$=-2+4-8+16+...+(-1)^{n}2^{n}$
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