Ta có :
\(S=7^{2019}-7^{2018}+7^{2017}-...-1\)
\(7S=7^{2020}-7^{2019}+7^{2018}-...-7\)
\(7S+S=\left(7^{2020}-7^{2019}+7^{2018}-...-7\right)+\left(7^{2019}-7^{2018}+7^{2017}-...-1\right)\)
\(8S=7^{2020}-1\)
\(S=\frac{7^{2020}-1}{8}\)
Vậy \(S=\frac{7^{2020}-1}{8}\)
Chúc bạn học tốt ~