Determine o numero de x que a sequencia (x+3,x-1,1-2x) seja uma p a

Determine o numero de x que a sequencia (x+3,x-1,1-2x) seja uma p a



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    (x + 3, x — 1, 1 — 2x)

    Se uma PA:

    r = a2 — a1
    r = x — 1 — (x + 3)
    r = x — 1 — x — 3
    r = — 1 — 3
    r = — 4
    Encontramos a razo. Podemos encontrar «x», fazendo a mesma relao:
    r = a3 — a2

    r = a3 — a2
    — 4 = 1 — 2x — (x — 1)
    — 4 = 1 — 2x — x + 1
    — 4 = 2 — 3x
    — 4 — 2 = — 3x
    — 6 = — 3x
    3x = 6
    x = 6/3
    x = 2
    (RESP.: x = 2)
    *
    a2 — a1 = a3 — a2

    x + 3 = 2 + 3 = 5
    x — 1 = 2 — 1 = 1
    1 — 2x = 1 — 2(2) = 1 — 4 = — 3

    PA: (5,1, — 3)


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− 2 = 2