Answer
$\sum ^{100}_{k=0}x^{k}$
Work Step by Step
$1+x+x^{2}+x^{3}+\ldots +x^{100}=x^{0}+x^{1}+x^{2}+x^{3}+\ldots +x^{100}=\sum ^{100}_{k=0}x^{k}$
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