Question

Cho A=1+2+2^2+2^3+....+2^50

           B=2^51 so sánh A và B 

Answer 1

\(A=1+2+2^2+2^3+...+2^{50}\)

\(2A=2+2^2+2^3+2^4+....+2^{51}\)

\(=>2A-A=\left(2+2^2+2^3+2^4+...+2^{51}\right)-\left(1+2+2^2+2^3+....+2^{50}\right)\)

\(=>A=2^{51}-1< 2^{51}=B=>A< B\)