Matematika

Pertanyaan

Tentukan 3 suku pertama barisan geometri beriku jika diketahui un dan r!
A. U5=1/81; r=1/3
B. U10= 59.049; r=-3

1 Jawaban

  • Barisan geometri:

    [tex] U_{n} = a* r^{n-1} [/tex]

    A. 
    [tex] U_{5} = a* r^{5-1} [/tex]
    [tex] 1/81 = a* (1/3)^{4} [/tex]
    a = 1
    U1 = a = 1
    U2 = a*r = 1*1/3 = 1/3
    U3 = a*r^2 = 1*1/9 = 1/9

    B.
    [tex] U_{5} = a* r^{5-1} [/tex]
    [tex] 59.049 = a* (-3)^{4} [/tex]
    a = 0.729
    U1 = a = 0.729
    U2 = a*r = 0.729*-3 = -2.187
    U3 = a*r^2 = 0.729*9 = 6.561
     

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