Matematika

Pertanyaan

U3=16 u5=64 (pake barisan geometri)
Carilah u9

2 Jawaban

  • U5=ar^4=64
    U3=ar²=16
    Dibagi jadi
    r²=4
    r=2
    r=2 kepers
    ar²=16
    a(2)²=16
    a=16/4
    a=4
    U9=ar^8
    U9=4*(2)^8
    U9=4*256
    U9=1024
  • U3=16 ➡ ar^2=16
    U5=64 ➡ ar^4=64
    maka:
    ar^4 / ar^2 = 64/16
    r^2=4
    [tex]r = \sqrt{4} \\ r = 2 \\ karena \: a {r}^{2} = 16 \\ a {(2)}^{2} = 16 \\ a(4) = 16 \\ a = 16 \div 4 \\ a = 4 [/tex]
    [tex]sehingga \: u9 = a {r}^{9 - 1} = a {r}^{8} \\ = (4) {(2)}^{8} \\ = (4)(256) \\ u9=1024[/tex]
    U9=1024

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