Matematika

Pertanyaan

dik:u4=10/9
u6=10/81
DIt:u1 dan rasio dan barisan u10??

2 Jawaban

  • U4=ar^3=10/9
    U6=ar^5=10/81

    ar^5=ar^3•r^2=10/81
    =10/9•r^2=10/81
    = r^2=10/81•9/10
    = r^2=1/9
    = r=1/3 (rasio)

    ar^3=10/9
    a(1/3)^3=10/9
    a•1/27=10/9
    a=10/9•27
    a=30 (U1)

    U10=ar^9= 30•(1/3)^9= 30•1/19683=152/100000=76/50000=38/25000=19/12500
  • U4 = a x r x r x r

    U6 = a x r x r x r x r x r
    U6 = U4 x r x r
    10/81 = 10/9 x r^2
    r^2 = 10/81 x 9/10
    r^2 = 9/81
    r = 3/9 atau 1/3

    lalu cari a atau U1,
    U4 = a x r x r x r
    10/9 = a x 1/3 x 1/3 x 1/3
    10/9 = a x 1/27
    a = 10/9 x 27/1
    a = 30

    U10 = a x r^9
    U10 = 30 x (1/3)^9
    U10 = 30 x 1/19683
    U10 = 10/6561

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