Toán hk lớp 6

R

ronaldover7

A=$\frac{1}{2}$+$\frac{1}{2^3}$+..........+$\frac{1}{2^{10}}$
\Rightarrow 2A=1+$\frac{1}{2}$+..........+$\frac{1}{2^9}$
\Rightarrow 2A-A=1+$\frac{1}{2}$+..........+$\frac{1}{2^9}$-($\frac{1}{2}$+$\frac{1}{2^3}$+..........+$\frac{1}{2^{10}}$)
\Rightarrow A=1-$\frac{1}{2^{10}}$
\Rightarrow A <1
 
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