Matematika

Pertanyaan

Diketahui suatu barisan aritmatika dengan U5= 7 dan U8 = 13. Suku ke 20 adalah... tolong pake cara ya

2 Jawaban

  • U8 = a + 7b = 13
    U5 = a + 4b = 7
    -----------------------------
    3b = 6
    b =2

    a + 4b = 7
    a + 8 = 7
    a = -1

    U20 = a + 19b
    = -1 + 38 = 37
  • Un = a + (n-1)b
    U5 = a + (5-1)b
    7 = a + 4b

    U8 = a + (8-1)b
    13 = a + 7b
    13 = (a + 4b) + 3b
    13 = 7 + 3b
    6 = 3b
    2 = b

    U5 = a + (5-1)(2)
    7 = a + 8
    -1 = a

    U20 = a + (n-1)b
    U20 = (-1) + (20-1)(2) = (-1) + 38 = 37

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