Question

 Rút gọn biểu thức sau

A=1+1/2+1/2^2+1/2^3+...+1/2^2012

Answer 1

\(2A=2+1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2011}}\)

\(A=2A-A=2-\frac{1}{2^{2011}}=\frac{2^{2012}-1}{2^{2011}}\)

Answer 2

Nhầm

\(A=2A-A=2-\frac{1}{2^{2012}}=\frac{2^{2013}-1}{2^{2012}}\)