Matematika

Pertanyaan

Pliss yg pinter tolong jawab kan
Pliss yg pinter tolong jawab kan

1 Jawaban

  • A.) Sn = 1/2n (2a + (n-1) b) = 17

    ➡ S4 = 1/2(4) (2a + (4-1) b) = 17
    S4 = 2 ( 2a + 3b ) = 17
    S4 = 4a + 7b = 17

    ➡ S8 = 1/2(8) (2a + (8-1) b) = 58
    S8 = 4 ( 2a + 7b ) = 58
    S8 = 8a + 28b = 58

    Eliminasi
    S4 = 4a + 7b = 17 (dikali 2)
    S8 = 8a +28b = 58 (dikali 1)
    = 8a + 14b = 34
    = 8a + 28b = 58
    ____________-
    = - 14b = -28
    b = 2
    Substitusi
    4a + 7b = 17
    4a + 7(2) = 17
    4a + 14 = 17
    4a = 17 - 14
    a = 3/4




    B.) U9 = a + (n-1) b
    = 3/4 + (9-1) 2
    = 3/4 + 16
    = 3/4 + 16/1
    = 3/4 + 32/4
    = 35/4

    C.) S9 = 1/2n (2a + (n-1) b)
    = 1/2(9) (2x3/4 + (9-1) 2)
    = 1/2 x 9 ( 6/4 + 16 )
    = 1/2 x 9 ( 6/4 + 16/1)
    = 1/2 x 9 ( 6/4 + 64/4)
    = 1/2 x 9 (70/4)
    = 70/8 x 9
    = 78,75


    Semoga membantu :)