Matematika

Pertanyaan

tolong bantuan jawaban + cara kak. plisss
tolong bantuan jawaban + cara kak. plisss

1 Jawaban

  • Diketahui :
    U3 + U12 = 46
    U-21 = 77

    Ditanya : U51..?

    Jawab :
    U3 = a+(n-1)b = a+(3-1)b --> a+2b
    U12 = a+(n-1)b = a+(12-1)b --> a+11b

    Jadi, U3 + U12 = 46
    => a+2b+a+11b = 46
    2a+13b = 46... pers. 1

    U21 = 77
    => a+(21-1)b = 77
    a+20b = 77... pers. 2

    Eliminasi pers. 1 dan 2
    2a + 13b = 46
    a + 20b = 77
    --> 2a + 13b = 46
    2a + 40b = 154
    -27b = -108
    b = 4
    --> a+20 x 4 = 77
    a + 80 = 77
    a = -3

    Jadi, U51 = a+(n-1)b
    = -3 + (51-1)4
    = -3 + 50 . 4
    = -3 + 200
    = 197