Matematika

Pertanyaan

tolong dijelasinnnnnn
tolong dijelasinnnnnn

2 Jawaban

  • U5 = a + 4b = 11

    U8 + U12 = 52
    (a + 7b) + (a + 11b) = 52
    2a + 18b = 52
    a + 9b = 26

    Eliminasi
    a + 9b = 26
    a + 4b = 11
    --------------- --
    ..... 5b = 15 => b = 3

    a + 4b = 11 => a + 4(3) = 11 => a = -1

    Sn = n/2 (2a + (n - 1)b)
    S8 = 8/2 (2(-1) + 7(3))
    = 4 (-2 + 21)
    = 4 (19)
    = 76
  • Un = a + (n - 1)b
    U5 = a + 4b = 11
    U8 = a + 7b
    U12 = a + 11b

    (a + 7b) + (a + 11b) = 52
    (a + a) + (7b + 11b) = 52
    2a + 18b = 52

    2a + 18b = 52
    a + 4b = 11
    --------------------- - 
    a + 14b = 41
    a + 4b = 11
    --------------------- - 
    10b = 30
    b = 30/10
    b = 3
    a = 11 - 4(3) = 11 - 12 = -1

    Jumlah U1 + U2 + ... + U8:
    = a + a + b + a + 2b + a + 3b + 11 + a + 5b + a + 6b + a + 7b
    = 76

    Jawaban : C