Matematika

Pertanyaan

Tolong bantu no 4 ya ..pake cara.
Makasih
Tolong bantu no 4 ya ..pake cara. Makasih

1 Jawaban

  • Deret hitung = aritmetika
    deret ukur = geometri

    deret hitung
    a₁= 4.484
    b = 1.234
    un = bn + (a-b)
    un₁ = 1.234 n + 3.250

    deret ukur
    u10/u5 = 118.098/486
    r⁵ = 243
    r = 3

    u5 = 486 --> ar⁴ = 486
    a = 486/(3⁴)
    a₂ = 6

    un₂ = arⁿ⁻¹ = 6. 3ⁿ⁻¹
    un₂ = 6/3 . 3ⁿ
    un₂ = 2. 3ⁿ

    a)
    un₁ = un₂
    1.234 n + 3.250 = 2. 3ⁿ
    617 n + 1./625 = 3ⁿ

    3ⁿ - 617 n = 1.625
    n = 8

    b) a₁ = 4.484 , a₂ = 6
    maka  a₁ > a₂