1/2+1/4+1/6+1/8+1/16+1/32+1/64+1/128+1/256+1/512=?

2 câu trả lời

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`.

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