Matematika

Pertanyaan


2. pada barisan aritmatika U3 = 13 dan U8 = 48 Tentukan
a. suku pertamanya
b. beda

2 Jawaban

  • Un = a + (n-1)b
    U3 = a + 2b = 13
    U8 = a + 7b = 48
    eliminasi
    a + 7b = 48
    a + 2b = 13
    ----------------- _
    5b = 35
    b = 35/5
    b = 7
    a + 2(7) = 13
    a + 14 = 13
    a = 13 - 14
    a = -1
    a) suku pertama = -1
    b) beda = 7
  • U3 = A + (3-1) B
    = A + 2B = 13
    U8 = A + (8-1) B
    = A + 7B = 48
    A + 2B - (A + 7B) = 13 - 48
    -5B = -35
    B = 7
    A + 7×7 = 48
    A + 49 = 48
    A = -1
    Jadi, a. A = -1
    b. B = 7

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