Matematika

Pertanyaan

tentukan A dan B jika diketahui unsur-unsur pada barisan aritmetika dibawah ini ...
a. U13 = 8 dan U17 = 48
b. U4 = 3 dan U6 - U1 = 5
c. U6 = -5 dan U10 - U2 = -2

1 Jawaban

  • a. U13 = 8 dan U17 = 48

    U17 = a + 16b = 48
    U13 = a + 12b = 8
    -------------------------- -
    4b = 40
    b = 40/4
    b = 10

    a + 12b = 8
    a + 12(10) = 8
    a + 120 = 8
    a = 8 - 120
    a = -112

    b. U4 = 3 dan U6 - U1 = 5

    U4 = a + 3b = 3
    U6 - U1 = a + 5b - a = 5
    5b = 5
    b = 5/5 = 1

    a + 3b = 3
    a + 3(1) = 3
    a + 3 = 3
    a = 3 - 3
    a = 0

    c. U6 = -5 dan U10 - U2 = -2

    U6 = a + 5b = -5
    U10 - U2 = a + 9b - a - b = -2
    8b = -2
    b = -2/8 = -1/4

    a + 5b = -5
    a + 5(-1/4) = -5
    a - 5/4 = -5
    a = 5/4 -5
    a = 5/4 - 20/4
    a = -15/4

    semoga membantu###

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