Matematika

Pertanyaan

Dik u5=8 dan u10=28 . Ditanyakan 1.beda 2. U20

2 Jawaban

  • U5 = a + 4b = 8
    U10 = a + 9b = 28
    ----------------------------(-)
    - 5b = - 20
    b = 4

    a + 4b = 8
    a + 4(4) = 8
    a + 16 = 8
    a = 8 - 16
    a = - 8

    U20 = a + 19b
    = - 8 + 19(4)
    = - 8 + 76
    = - 68
  • Mapel : Matematika
    Bab : Barisan dan deret

    Un = bn + a - b
    U5 = 5b + a - b
      8 = 4b + a

    Un = bn + a - b
    U10 = 10b + a - b
      28 = 9b + a

    8 = 4b + a
    28 = 9b + a
    --------------- -
    -20 = -5b
      b  = -20/-5
      b  = 4

    8 = 4b + a
    8 = 4.4 + a
    8 = 16 + a
    a = 8 - 16
    a = -8

    Beda = 4

      Un = bn + a - b
    U20 = 4.20 + -8 - 4
            = 80 - 12
            = 68

Pertanyaan Lainnya