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

Toán Lớp 7: C= 1/2×3/4×5/6x…x79/80 so sánh với 1/7 ( a/b<1=>a/b

Toán Lớp 7: C= 1/2×3/4×5/6x…x79/80 so sánh với 1/7 ( a/b<1=>a/b

Comments ( 2 )

  1. Giải đáp:
     C = 1/2 xx 3/4 xx 5/6 xx ………….. xx 79/80
    C < 2/3 xx 4/5 xx 6/7 xx ……………. xx 80/81
    C . C < 1/2 xx 2/3 xx 3/4 xx …………. xx 79/80 xx 80/81
    C^2 < 1/81
    C^2 < (1/9)^2
    C < 1/9 < 1/7
    Hay C < 1/7
     

  2. @Kem
    C = 1/2 × 3/4× 5/6 × ………….. × 79/80
    ⇔C < 2/3 × 4/5 × 6/7 × ……………. × 80/81
    ⇔C² < 1/2 × 2/3 × 3/4 × …………. × 79/80 × 80/81
    ⇔C² < 1/81(Rút gọn lại bớt dài dòng :D)
    ⇔C² < (1/9)²
    ⇔C < 1/9 < 1/7
    ⇒ C < 1/7(đpcm)

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