Tính giá trị biểu thức: 1-2 + 2 mũ 2 - 2 mũ 3 + 2 mũ 4 -...+ 2 mũ 2022

Cách 1:

`A=1-2+2^2-2^3+2^4-...+2^{2022}`

`A=(2^0+2^2+2^4+...+2^{2022})-(2+2^3+...+2^{2021})`

`2A=(2+2^3+2^5+...+2^{2023})-(2^2+2^4+...+2^{2022})`

`2A-A=2^{2023}-2^o-2^{2022}+2`

`A=2^{2023}-2^{2022}+1`

Cách 2:

`A=1-2+2^2-2^3+2^4-...+2^{2022}`

`2A=2-2^2+2^3-2^4+2^5-...+2^{2023}`

`2A+A=1+2^{2023}`

`A={1+2^{2023}}/3`