## College Algebra 7th Edition

$\sum_{k=0}^{100}x^{k}$
We write the sum in sigma notation: (We notice that the terms take the form $x^k$, with $k$ being consecutive integers.) $1+x+x^{2}+x^{3}+ \cdots+x^{100}=\sum_{k=0}^{100}x^{k}$