Matematika

Pertanyaan

Tolong dibantu yaa teman teman
Tolong dibantu yaa teman teman

1 Jawaban

  • diket : U5 = 11 ; U8 + U12 = 52
    dit : S8 = ....
    jawab :
    U5 = a + 4b = 11 ... pers. (1)
    U8 + U12 = (a + 7b) + (a + 11b) = 52
                  = 2a + 18b = 52 ... pers. (2)

    eliminasi a dari pers. (1) dan (2)
    a + 4b = 11     --> 2a + 8b = 22
    2a + 18b = 52 --> 2a + 18b = 52
                               -------------------- -
                                      - 10b = - 30
                                            b = 3

    cari a (suku pertama) :
    a + 4b = 11 --> a + 4(3) = 11 --> a = -1

    cari S8 :
    S8 = (8/2) (2(-1) + (7)(3))
         = (4)(-2 + 21)
         = (4)(19) = 76