Matematika

Pertanyaan

Diketahui U4 =26 dan U8 =34. Ditanya b? a? U100?

2 Jawaban

  • Un = bn + a - b
    U4 = 4b + a - b
    26  = 3b + a

    Un = bn + a - b
    U8 = 8b + a - b
    34 = 7b + a

    26 = 3b + a
    34 = 7b + a
    ---------------- -
    -8  = -4b
      b  = -8/-4
      b  = 2

    26 = 3b + a
    26 = 3(2) + a
    26 = 6 + a
      a = 26 - 6
      a = 20

        Un = bn + a - b
    U100 = 2(100) + 20 - 2
              = 200 + 18
              = 218
  • U4 = a + 3b = 26
    U8 = a + 7b = 34
    _____________
    -4b = -8
    b = 2

    a + 3b = 26
    a + 3(2) = 26
    a + 6 = 26
    a = 20

    U100 = a + 99b
    U100 = 20 + 99(2)
    U100 = 20 + 198
    U100 = 218

    Semoga Membantu

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