A = $2019^{2020}$ – $2019^{2019}$ + $2019^{2018}$ – $2019^{2017}$ + … + $2019^{2}$ + 2019 25/10/2021 Bởi Adalynn A = $2019^{2020}$ – $2019^{2019}$ + $2019^{2018}$ – $2019^{2017}$ + … + $2019^{2}$ + 2019
$A=2019^{2020}-2019^{2019}+…+2019^2-2019$ $⇒2019A=2019^{2021}-2019^{2020}+…+2019^3-201^2$ $⇒2019A+A=2019^{2021}+(2019^{2020}-2019^{2020}+…-2019$ $⇒2020A=2019^{2021}-2019$ $⇒A=$$\frac{2019^{2021}-2019}{2020}$ Bình luận
$A=2019^{2020}-2019^{2019}+…+2019^2-2019$
$⇒2019A=2019^{2021}-2019^{2020}+…+2019^3-201^2$
$⇒2019A+A=2019^{2021}+(2019^{2020}-2019^{2020}+…-2019$
$⇒2020A=2019^{2021}-2019$
$⇒A=$$\frac{2019^{2021}-2019}{2020}$