Matematika

Pertanyaan

diketahui barisan geometri dengan U3=4 dan U5=16. suku ke 10 barisan tersebut adalah??

2 Jawaban

  • U3 = 4
    U5 = 16
    r² = 16/4
    r² = 4
    r = √4 = 2

    U3 = a.r^n-¹
    4 = a.2^3-¹
    4 = a.2^2
    4 = a.4
    a = 4/4 = 1

    U10 = a.r^n-¹
    U10 = 1.2^10-¹
    U10 =1.2^9
    U10 = 512

  • U 5 = ar^4 = 16
    U3 = ar^2 = 4
    r^4-2 = 16/4
    r^2 = 4
    r = akar dari 4
    r = 2
    Cari a
    U3 = ar^2 = 4
    a(2)^2 = 4
    a (4) = 4
    a= 4/4
    a = 1
    Cari u10
    u10 = ar^9
    = 1 (2)^9
    = 1 (512)
    = 512
    Gambar lampiran jawaban sariimutbgt

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