Matematika

Pertanyaan

Mohon ya atas perhatiannya.
Terimakasih banyak.
Mohon ya atas perhatiannya. Terimakasih banyak.

1 Jawaban

  • U1 + U2 = 45
    a + ar = 45
    a( 1 + r) = 45
    (1 + r) = 45/a

    -------------
    U3 + U4 = 20
    ar² + ar³ = 20
    ar²(1 + r) = 20
    ar² (45/a) = 20
    45r² = 20
    r² = 20/45
    r² = 4/9
    r = √ (4/9)
    r =2/3 (+)

    1 + 2/3 = 45/a
    5/3 = 45/a
    (3)(45) = 5a
    a = (3)(45)/5
    a = 27

    S∞ = a/(1-r)
    S∞ = 27 / (1-2/3)
    S∞ = 27/(1/3)
    S∞ = 27 × 3/1
    S∞ = 81

    C)