Matematika

Pertanyaan

diketahui (x-3),(x-1),(2x-2),dan(2x+6) barisan geometri nilai + cara
A.3. C.7
B.5. D.9

1 Jawaban

  • barisan geometri rasio r = U2/U1 = U3/U2
    (x-1) / (x-3) = (2x-2) / (x-1)
    (x-1) (x-1) = (2x-2) (x-3)
    x^2 - 2x +1 = 2x^2 -8x+6
    x^2 -2x^2 -2x + 8x +1 -6 = 0
    -x^2 +6x -5 = 0
    x^2 -6x +5 = 0
    (x-5) (x -1) = 0
    Jadi x = 5 atau x = 1, x = 1 tidak bisa karena suku awal x-1 = 1 -1 =0. Jadi x = 5

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