Question

Giúp mik vs (câu 4 )

Answer 1

Câu 4:

\(A=7^{2022}-7^{2021}+7^{2020}-7^{2019}+...+7^2-7\\ \Rightarrow7A=7^{2023}-7^{2022}+7^{2021}-7^{2020}+...+7^3-7^2\\ \Rightarrow7A+A=7^{2023}-7^{2022}+...+7^3-7^2+7^{2022}-7^{2021}+...+7^2-7\\ \Rightarrow8A=7^{2023}-7\\ \Rightarrow A=\dfrac{7^{2023}-7}{8}\)