Tính: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 + 1/1024
2 câu trả lời
`1/2 + 1/4 + 1/8 + ... + 1/512 + 1/1024`
`= (1 - 1/2) + ( 1/2 - 1/4) + ( 1/4 - 1/8) + ... + ( 1/256 - 1/512) + ( 1/512 - 1/1024)`
`= 1 - 1/2 + 1/2 - 1/4 + 1/4 - 1/8 + ... + 1/256 - 1/512 + 1/512 - 1/1024`
`= 1 - cancel{1/2} + cancel{1/2} - cancel{1/4} + cancel{1/4} - cancel{1/8} + ... + cancel{1/256} - cancel{1/512} + cancel{1/512} - 1/1024`
`= 1 - 1/1024`
`= 1023/1024`