Matematika

Pertanyaan

diketahu U3=12 dan U5=48 dari barisan geometri. maka nilai dari U7=.....


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2 Jawaban

  • U3 = ar^2 = 12
    U5 = ar^4 = 48

    U5/U3
    = ar^4 / ar^2 = 48/12
    r^2 = 4
    r = 2

    U3 = ar^2 = 12
    a × 2^2 =12
    a × 4 = 12
    a = 3


    U7 = ar^6
    = 3 × 2^6
    = 3 × 64
    = 192
  • U5 = U1.r^4 = 48
    U3 = U1.r^2 = 12
    Un = U1 × r^n-1

    r = U5/U3
    U1.r^4 = 48/U1.r^2 = 12
    r^2 = 4
    r = 2

    Subs r = 2
    12 = U1 × r^2
    12 = U1 × 2^2
    12 = U1 × 4
    U1 = 12/4
    U1 = 3

    U7 = 3 × 2^6
    => 3 × 64 = 192

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