Matematika

Pertanyaan

A.Pada deret geometri , U1 = 18 , U3 = 2 . Tentukan U5 !!

B.Diketahui Baris geometri , U4 = 40 , U6 = 160 . Tentukan U8!!

1 Jawaban

  • #A
    Dik. U1 = 18 & U3 = 2
    Dit. U5?

    Jawab...

    rasio (r) :
    U1 = a = 18
    U3 = a × r^2 = 2
    ----------------- :
    @ r^2 = 1/9
    @ r = 1/3

    U5 = a × r^4
    U5 = 18 × (1/3)^4
    U5 = 18 × 1/81
    U5 = 0,222

    #B
    Dik. U4 = 40 & U6 = 160
    Dit. U8 ?

    Jawab...

    rasio (r) :

    U6 = a × r^5 = 160
    U4 = a × r^3 = 40
    ------------------------ :
    @ r^2 = 4
    @ r = 2

    a (U1) :

    a × r^3 = 40
    a × (2)^3 = 40
    a × 8 = 40
    a = 40/8
    a = 5

    U8 = a × r^7
    U8 = 5 × (2)^7
    U8 = 5 × 128
    U8 = 640

    Semoga mebantu.. ^_^

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