Determine X, afim de que a sequencia ( -6 -X X+2 4X ) seja uma PA Qual é a razão da PA obtida

Determine X, afim de que a sequencia ( -6 -X X+2 4X ) seja uma PA Qual é a razão da PA obtida



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    Veja:

    a1 = -6
    a2 = -x
    a3 = x + 2
    a4 = 4x

    ======

    Para encontrar o valor de x:

    a2 — a1 = a3 — a2

    (-x) — (-6) = (x + 2) — (-x)
    -x + 6 = 2x + 2
    -x — 2x = 2 — 6
    -3x = -4 (-1)
    3x = 4

    x = 4/3

    Razo da PA
    a1 = -6
    a2 = — 4/3

    r = a2 — a1
    r = -4/3 — (-6)
    r = -4/3 + 6

    r = 14/3

    Em decimal = 4,66….. aproximadamente.

  • Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
    -x = x+2 + (-6) / 2
    -2x = x+2 -6
    3x = 4
    x= 4/3

    razo: r = -4/3 — (-6)

    r= 14/3


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82 − = 80