Matematika

Pertanyaan

suku kelima dan suku ketujuh dari suatu barisan geometri berturut turut adalah 80 dan 320.suku kesembilan barisan tersebut adalh

2 Jawaban

  • U5 = ar^4 = 80
    U7 = ar^6 = 320

    ar^6 = 320
    ----------------
    ar^4 = 80
    r^2 = 4
    r = 2

    ar^4 = 80
    a.2^4 = 80
    a.16 = 80
    a = 80/16
    a = 5

    Dit : U9?
    =ar^8
    =5.2^8
    =5.256
    =1280
  • diket : u5 = 80
    u7 = 320
    ditanya : u9...?
    jawab : u5 = ar^4
    => 80 = ar^4 ... 1(persamaan satu)
    u7 = ar^6
    => 320 = ar^6 ... 2
    r = ar^6/ar^4
    320/80 = r^
    4 = r^
    r = 2
    a = ?
    u5 = ar^4
    80 = a.2^4
    80 = a.16
    a = 80/16
    a = 5
    jadi, u9 = ar^8 
    u9 = 5.2^8
    u9 = 5.256
    u9 = 1280

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