Matematika

Pertanyaan

Diketahui barisan aritmatika dengan U5=21 dan U10= 41. Tentukan U56

2 Jawaban

  • U10 = a + 9b = 41
    U5 = a + 4b = 21
    ------------------------  -
    5b = 20
    b = 20/5
    b = 4

    a + 4b = 21
    a + 4.4 = 21
    a + 16 = 21
    a = 21 - 16
    a = 5

    U56 = a + 55b
    U56 = 5 + 55.4
    U56 = 5 + 220
    U56 = 225

  • a + 4b = 21
    a + 9b = 41 _
    -5b = -20
    b = -20/-5
    b = 4

    a + 4b = 21
    a + 4.4 = 21
    a + 16 = 21
    a = 21 - 16
    a = 5

    b = 4 , a = 5 , n = 56

    Un = a + (n - 1)b
    U56 = a + 55b
    U56 = 5 + 55.4
    U56 = 5 + 220
    U56 = 225

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