Matematika

Pertanyaan

tolong di jawab no 5,8,9
di kumpulkan besok cepetan
aku kasih poin 10
tolong di jawab no 5,8,9 di kumpulkan besok cepetan aku kasih poin 10

2 Jawaban

  • 5.c.
    8.a.
    9.d.
    semoga membantu
  • U₄ = 4
    U₉ = 34

    b = (U₉ - U₄) / (9 - 4)
    b = (34 - 4) / (5)
    b = 30 / 5
    b = 6

    U₄ = a + 3b
    4 = a + 3(6)
    a = -14

    U₁₅ = a + 14b
    =>-14 + 14(6)
    =>70

    U₅ = a + 4b
    =>-14 + 4(6)
    => 10

    U₁₅/U₅ = 70/10 = 7

    -----------------------------------------------------------

    a = 2

    U₄ = 54
    ar³ = 54
    2r³ = 54
    r³ = 27
    r = 3

    Un = arⁿ⁻¹
    4374 = 2 • 3ⁿ⁻¹
    2187 = 3ⁿ/3
    6561 = 3ⁿ
    n = 8

    Jadi 4374 adalah suku ke 8

    -----------------------------------------------------------

    U₃ x U₆/U₅ = 16/8
    ar² x ar⁵/ar⁴ = 2
    ar³ = 2
    U₄ = 2

    r = U₅/U₄
    r = 8/2
    r = 4

    ar³ = 2
    a(4)³ = 2
    a = 2/64
    a = 1/32

    S₆ = a(r⁶ - 1) / (r - 1)
    =>1/32 (4⁶ - 1) / (4 - 1)
    =>(128 - 1/32) / 3
    =>42 ²¹/₃₂