Matematika

Pertanyaan

Banyak suku dan jumlah deret aritmatika

-3 -7 -11 -15 .... -107?

2 Jawaban

  • a = -3
    b = -4
    banyak suku = x + 1 dari,
    Un = a + xb
    -107 = -3 + x(-4)
    -104 = -4x
    26 = x
    banyak suku = 26 + 1 = 27

    Jml deret, Sn = n/2 (2a + (n - 1)b)
    Sn = 27/2 (2.-3 + (27-1)(-4))
    Sn = 27/2 (-6 + (26.-4))
    Sn = 27/2 (-6 -104)
    Sn = 27/2 (-200)
    Sn = 27 (-100)
    Sn = -2700
  • a = -3
    b= -7 -(-3) = -4
    Un = a + (n-1) b
    -107 = -3 + (n-1) (-4)
    -104 = -4n +4
    -108 = -4n
    n = 27
    S27 = 27/2 (2(-3) + 26(-4)
     = 27/2 ( -6 - 104)
    =27/2 ( -110)
    = -1485

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