Question

4+2mũ2+2mũ3+.....+2mũ2022

Answer 1

$2^2+2^2+2^3+...+2^{2022}$ (1)

Đặt $A=2^2+2^3+...+2^{2022}$

$2A=2^3+2^4+...+2^{2023}$

$2A-A=(2^3+2^4+...+2^{2023})-(2^2+2^3+...+2^{2023})$

$A=2^{2023}-2^2$

$A=2^{2023}-4$

Thay $A=2^{2023}-4$ vào (1), ta được:

$2^2+2^{2023}-4=4+2^{2023}-4=2^{2023}$