Bài 5. a) \(A=1+2+2^2+2^3+...+2^{2021}\)
\(\Rightarrow2A=2+2^2+2^3+2^4+...+2^{2022}\)
\(\Rightarrow A=2A-A=\left(2+2^2+2^3+2^4+...+2^{2022}\right)-\left(1+2+2^2+2^3+...+2^{2021}\right)\)
\(=2^{2022}-1\)
\(\Rightarrow2A=2.\left(2^{2022}-1\right)=2^{2023}-2\)
b) Đề sai, phải là A = 22022 - 1
Đúng 0
Bình luận (0)