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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: CM A = 1/2 – 1/4 + 1/8 – 1/16 + 1/32 – 1/64 < 1/3

Home/ Toán Lớp 6: CM A = 1/2 – 1/4 + 1/8 – 1/16 + 1/32 – 1/64 < 1/3

Toán Lớp 6: CM A = 1/2 – 1/4 + 1/8 – 1/16 + 1/32 – 1/64 < 1/3

Tháng Tám 2, 2022 Toán học 2 Comments 0 views

Toán Lớp 6: CM A = 1/2 – 1/4 + 1/8 – 1/16 + 1/32 – 1/64 < 1/3

Comments ( 2 )

  1. daithanh
    daithanh
    2 Tháng Tám, 2022 at 4:00 sáng
    Reply
    A = 1/2 – 1/4 + 1/8 – 1/16 + 1/32 – 1/64
    A = (1/2 – 1/4) + (1/8 – 1/16) + (1/32 – 1/64)
    A = 1/4 + 1/16 + 1/64
    A = 5/16 + 1/64
    A = 21/64
    $\text{Vì}$ 21/64 < 21/63 = 1/3
    => 21/64 < 1/3
    $\text{Vậy bài toán được chứng minh}$

  2. kimoanh34
    kimoanh34
    2 Tháng Tám, 2022 at 4:00 sáng
    Reply
    A = $\frac{1}{2}$ – $\frac{1}{4}$ + $\frac{1}{8}$ – $\frac{1}{16}$ + $\frac{1}{32}$ – $\frac{1}{64}$ 
    A = $\frac{1}{2^1}$ – $\frac{1}{2^2}$ + $\frac{1}{2^3}$ – $\frac{1}{2^4}$ + $\frac{1}{2^5}$ – $\frac{1}{2^6}$ 
    2A = 1 – $\frac{1}{2^2}$ + $\frac{1}{2^3}$ – $\frac{1}{2^4}$ + $\frac{1}{2^5}$
    2A + A = 1 – $\frac{1}{2^6}$ 
    A = $\frac{1}{3}$ – $\frac{1}{2^6 . 3}$ < $\frac{1}{3}$ ( đpcm )

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222-9+11+12:2*14+14 = ? ( )

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