Bài 3 : Thực hiện phép tính 1 + 1/2 + 1/4 + 1/8 + 1/16 ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ 1 - 1/2 + 1/4

thanhha46t5

2 năm trước

Bài 3 : Thực hiện phép tính 1 + 1/2 + 1/4 + 1/8 + 1/16 ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ 1 - 1/2 + 1/4 - 1/8 + 1/16

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hovanut1982

`#Sad`

`3)`

`\text{→Đặt phần tử số là:}` `A`

`A= 1 + 1/2 + 1/4 + 1/8 + 1/(16)`

`= (16)/(16) + 8/(16) + 4/(16) + 2/(16) + 1/(16)`

`= (16+8+4+2+1)/(16)`

`= (31)/(16) = 1,9375`

`\text{→Đặt phần mẫu số là:}` `B`

`B= 1 - 1/2 + 1/4 - 1/8 + 1/(16)`

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

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

`= (11)/(16) = 0,6875`

`⇒` `A/B = (1,9375)/(0,6875) = (31)/(11)`

Vote (0) Phản hồi (0) 2 năm trước

516452005972284

Đáp án:

Giải thích các bước giải:

-Đặt `A = 1 + 1/2 + 1/4 + 1/8 + 1/16`

`2A = 2 + 1 + 1/2 + 1/4 + 1/8`

`2A - A = ( 2 + 1 + 1/2 + 1/4 + 1/8 ) - ( 1 + 1/2 + 1/4 + 1/8 + 1/16 )`

`A = 2 - 1/16`

`A = 31/16`

-Đặt `B = 1 - 1/2 + 1/4 - 1/8 + 1/16`

`2B = 2 - 1 + 1/2 - 1/4 + 1/8`

`2B + B = ( 2 - 1 + 1/2 - 1/4 + 1/8 ) + ( 1 - 1/2 + 1/4 - 1/8 + 1/16 )`

`3B = 2 + 1/16`

`3B = 33/16`

`B = 33/16 : 3`

`B = 11/16`

`→ A/B = 31/16 : 11/16 =31/11`

Vote (0) Phản hồi (0) 2 năm trước

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