1/2 + 1/4 + 1/8 + 1/16 + 1/32
=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32
=1-1/32
=31/32
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(=\frac{16}{32}+\frac{8}{32}+\frac{4}{32}+\frac{2}{32}+\frac{1}{32}\)
\(=\frac{16+8+4+2+1}{32}\)
\(=\frac{31}{32}\)
Vậy.......
Gọi tổng trên là A.
A=1/2+1/4+1/8+1/16+1/32
A+1/32=1/2+1/4+1/8+1/16+1/32+1/32
A+1/32=1/2+1/4+1/8+1/16+1/32+1/32
A+1/32=1/2+1/4+1/8+1/16+1/16
A+1/32=1/2+1/4+1/8+1/8
A+1/32=1/2+1/4+1/4
A+1/32=1/2+1/2
A+1/32=1
A=1-1/32
A=31/32