Matematika

Pertanyaan

tolong yang menjawab harus janji pakai cara
tolong yang menjawab harus janji pakai cara

1 Jawaban

  • Un = a + (n-1)b

    U2 + U5 = 1
    (a + b )+(a + 4b) = 1
    2a + 5b = 1

    U4 + U7 = 21
    (a + 3b)+(a + 6b) = 21
    2a + 9b = 21

    eliminasi
    2a + 5b = 1
    2a + 9b = 21
    -------------------- -
             -4b = - 20
                b = 5

    2a + 5b = 1
    2a + 5(5) = 1
    2a + 25 = 1
    2a = 1 - 25
    2a = -24
    a = -12

    a) U15 = a + 14b = -12 + 14(5) = -12 + 70 = 58
    b) Sn = n/2 (2a + (n-1)b)
        S12 = 12/2 (2(-12) + (12-1)5)
        S12 = 6 (-24 + (11 x 5))
        S12 = 6 ( -24 + 55)
        S12 = 6 x 31
        S12 = 186