Matematika

Pertanyaan

suku ke tiga dan suku kesebelas barisan aritmetika masing masing -6 dan 18 tentukanlah: suku pertama dan bedanya

Barisan geometri,diketahui bahwa U2:27 dan U4: 3
tentukanlah : suku pertama dan rasio

1 Jawaban

  • 1.)
    U3 = -6
    U11 = 18

    a + (n-1) b = U3
    a + (3 - 1) b = -6
    a + 2b = -6

    a + (11 - 1) b = 18
    a + 10b = 18

    a + 2b = -6
    a + 10b = 18
    _________ _
    -8b = -24
    b = 3

    a + 2b = -6
    a + 2(3) = -6
    a + 6 = -6
    a = -12

    2.)

    a × r^n-1 = U2
    a × r^2-1 = 27
    a × r = 27

    a × r^n-1 = U4
    a × r^4-1 = 3
    a × r^3 = 3


    a × r^3 = 3 = U4
    ___________
    a × r = 27 = U2

    r^2 = 3/27
    r^2 = 1/9
    r = 1/3

    a × r = 27
    a × 1/3 = 27
    a =27/1/3
    a = 27 × 3/1
    a = 81



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