A= (1-frac{3}{4}+left(frac{3}{4} ight)^{2}-left(frac{3}{4} ight)^{3}+left(frac{3}{4} ight)^{4}-...-left(frac{3}{4} ight)^{2019}=left(frac{3}{4} ight)^{2020})

A= \(1-\frac{3}{4}+\left(\frac{3}{4}\right)^{2}-\left(\frac{3}{4}\right)^{3}+\left(\frac{3}{4}\right)^{4}-...-\left(\frac{3}{4}\right)^{2019}=\left(\frac{3}{4}\right)^{2020}\)
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