Matematika

Pertanyaan

U4+U6=10 jika rasio 1/2 maka U8 adalah

1 Jawaban

  • U4 = a r³
          = a (1/2)³
    U6 = a r⁵
         = a (1/2)⁵
         = a (1/2)³ (1/2)²

    U4 + U6 = 10
    a (1/2)³ + a (1/2)³ (1/2)²  = 10
    a (1/2)³ (1 + 1/4) = 10
    a (1/8) (5/4) = 10
             a(1/8) = 10 x 4/5
                   a  = 8 x 8
                       = 64
    U8 = a r⁷
         = 64 (1/2)⁷
         = 64 (1/128)
         = 0,5

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