Matematika

Pertanyaan

tolong dong no 1 a dan f dan no 2, kelas 9
tolong dong no 1 a dan f dan no 2, kelas 9

1 Jawaban

  • 1a.]
    3 + 10 + 17 + 24 + ... [Baris Aritmatika]

    a = 3
    b = 10 - 3 = 7

    Un = a + (n - 1)b
    U₁₀ = a + 9b
    U₁₀ = 3 + 9(7)
    U₁₀ = 66

    Sehingga
    Sn = ⁿ/₂ (a + Un)
    S₁₀ = ¹⁰/₂ (3 + 66)
    S₁₀ = 5(69)
    S₁₀ = 345

    1f.]
    4 + 6 + 9 + ²⁷/₂ + ... [Baris Geometri]
    a = 4
    r = 6 : 4 = ³/₂

    Sn = a(rⁿ - 1) / (r - 1)
    S₁₀ = 4( [³/₂]¹⁰ - 1) / (³/₂ - 1)
    S₁₀ = 4 ( ⁵⁸⁰²⁵/₁₀₂₄ ) / (½)
    S₁₀ = 453 ⁴¹/₁₂₈

    2.]
    1 + 2 + 4 + 8 + ... + 2ⁿ⁻¹ = 127
    a = 1
    r = 2 : 1 = 2

    Sn = a(rⁿ - 1) / (r - 1)
    127 = (2ⁿ - 1) / (2 - 1)
    127 = 2ⁿ - 1
    128 = 2ⁿ
    n = 7