Question

Rút gọn biểu thức A = 2^50+2^49+2^48+...+2^2+2+1

Answer 1

Vì A = 2^50+2^49+2^48+...+2^2+2+1

Suy ra: 2A=2^51+2^50+2^49+...+2^3+2^2+2

A=(2^51+2^50+2^49+...+2^3+2^2+2)-(2^50+2^49+2^48+...+2^2+2+1)

A=2^51-1

Answer 2

2A = 2^51+2^50+....+2^2+2

A = 2A - A = (2^51+2^50+....+2)-(2^50+2^51+....+2+1) = 2^51-1

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