Matematika

Pertanyaan

U2=3 dan u4=⅓ maka nilai u6adalah

1 Jawaban

  • U2 = a + b
    a + b = 3 •••• (1)

    U4 = a + 3b
    a + 3b = 1/3
    3 ( a + 3b ) = 1
    3a + 9b = 1 •••• (2)

    a + b = 3 | ×3 |
    3a + 9b = 1 | ×1 |
    ----------------------
    3a + 3b = 9
    3a + 9b = 1
    ---------------- -
    ••••• -6b = 8
    ••••• b = 8/-6
    ••••• b = -4/3

    a + b = 3
    a + (-4/3) = 3
    -4/3a = 3
    -4a = 9
    a = -9/4

    Maka,
    U6 = a + 5b
    •••• = -9/4 + 5 (-4/3)
    •••• = -9/4 - 20/3
    •••• = -27/12 - 80/12
    •••• = -107/12

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