Matematika

Pertanyaan

jika jumlah deret geometri 3+9+27+ ... =120 maka jumlah suku nya

1 Jawaban

  • a = 3
    r = U2/U1 = 9/3 = 3
    Sn = a(rⁿ - 1)/(r - 1)
    120 = 3(3ⁿ - 1)/(3-1)
    120 = 3(3ⁿ - 1)/2
    120×2/3 = 3ⁿ - 1
    80 = 3ⁿ - 1
    3ⁿ = 80+1
    3ⁿ = 81
    3ⁿ = 3⁴
    n = 4

Pertanyaan Lainnya