Matematika

Pertanyaan

barisan geometri jika U3=2 U7=32 MAKA U9=?

2 Jawaban

  • U3 = a.r² = 2 ...(1)
    U7 = a.r⁶ = 32 ...(2)

    a.r⁶ = 32
    a.r² . r⁴ = 32
     2  .  r⁴ = 32
    r⁴ = 16
    r  = 2

    a.r² = 2
    a.2²=2
    a .4= 2
    a= ¹/₂

    U9 = a.r⁸
    U9 = ¹/₂ . 2⁸
    U9 = ¹/₂ . 256
    u9 = 128

  • Un=ar^n-1
    U3=ar^2=2
    U7=ar^6=32
    a=2/r^2 (1)
    a=32/r^6 (2)
    a(1)=a(2) = 2/r^2 = 32/r^6 = r^6/r^2 = 32/2
    = r^6-2 = 16 > r^4 = 16 MAKA r = 2(akar4 dari 16)
    a=2/2^2= 2/4 = 1/2 / a=32/r^6 = 32/64 = 1/2
    U9=1/2r^8 = 1/2 x 256 = 128

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