Matematika

Pertanyaan

A) U3=15 dan b=2,tentukan u1 dan u12
B) U4=33 dan b=5,tentukan u1 dan u10
C) U5=20 dan b=-1, tentukan u1 dan u15

1 Jawaban

  • Rumus Un = a + (n - 1)b

    A) U3 = 15 ---> a + 2b = 15, b=2
    a + 2(2) = 15
    a + 4 = 15
    a = 15 - 4
    a = 11
    U1 = a = 11
    U12 = a + 11b = 11 + 11(2) = 11 + 22 = 33

    B) U4 = 33 ---> a + 3b = 33, b = 5
    a + 3(5) = 33
    a + 15 = 33
    a = 33 - 15
    a = 18
    U1 = a = 18
    U10 = a + 9b = 18 + 9(5) = 18 + 45 = 63

    C) U5 = 20 ---> a + 4b = 20, b = -1
    a + 4(-1) = 20
    a - 4 = 20
    a = 20 + 4
    a = 24
    U1 = a = 24
    U15 = a + 14b = 24 + 14(-1) = 24 - 14 = 10

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