1/2+1/4+1/6+1/8+1/16+1/32+1/64+1/128+1/256+1/512=? 20/09/2021 Bởi Delilah 1/2+1/4+1/6+1/8+1/16+1/32+1/64+1/128+1/256+1/512=?
đáp án : 511/512 Giải thích các bước giải: Đặt A = 1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 A = 1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 2A = 1+1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 2A= 1+1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 – 1/512 2A =1+(1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512) – 1/512 2A=1+ A – 1/512 2A-A = 1-1/512 A =511/512 cho mình câu trả lời hay nhất nhé Bình luận
Đáp án: `A=511/512` Giải thích các bước giải: `A=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512` `2A=2(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512)` `2A=1+1/2+1/8+1/32+1/64+1/128+1/256` `2A-A=(1+1/2+1/8+1/32+1/64+1/128+1/256+1/256)-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512)` `A=1-1/512` `A=511/512` Vậy `A=511/512`. Bình luận
đáp án : 511/512
Giải thích các bước giải: Đặt A = 1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
A = 1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
2A = 1+1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
2A= 1+1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 – 1/512
2A =1+(1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512) – 1/512
2A=1+ A – 1/512
2A-A = 1-1/512
A =511/512
cho mình câu trả lời hay nhất nhé
Đáp án:
`A=511/512`
Giải thích các bước giải:
`A=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512`
`2A=2(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512)`
`2A=1+1/2+1/8+1/32+1/64+1/128+1/256`
`2A-A=(1+1/2+1/8+1/32+1/64+1/128+1/256+1/256)-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512)`
`A=1-1/512`
`A=511/512`
Vậy `A=511/512`.