Question

Tính  giá trị biểu thức :

1/2 + 1/4 + 1/8 + 1/16 + 1/32

Answer 1

Đặt A = \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)

\(\Rightarrow2A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)

\(\Rightarrow2A-A=1-\frac{1}{32}\)

\(\Rightarrow A=\frac{31}{32}\)

Answer 2

1/2+1/4+1/8+1/16+1/32=1/2+(1/2-1/4)+(1/4-1/8)+(1/16-1/32)

                                    =1/2-1/32

                                   =15/32