Matematika

Pertanyaan

Deret arit S4=17 dan S8=58, U1

2 Jawaban

  • s4 = 17
    sn = n/2 (2a + (n-1) b)
    s4 = 2(2a + 3b)
    17 = 4a + 6b

    s8 = 58
    s8 = 4 ( 2a + 7b)
    58 = 8a + 28b

    4a + 6b = 17. (×2)
    8a + 28b = 58. (×1)

    8a + 12b = 34
    8a + 28b = 58. (kurangkan)

    -16b = -24
    b = 24/16
    b = 3/2

    4a + 6b = 17
    4a + 6(3/2) = 17
    4a + 9 = 17
    4a = 8
    a = 2
  • S4 = 17
    4/2 (2a + (4-1)b) = 17
    2 (2a + 3b) = 17
    4a + 6b = 17

    S8 = 58
    8/2 (2a + (8-1)b) = 58
    4 (2a + 7b) = 58
    2 (2a + 7b) = 29
    4a + 14b = 29

    eliminasi
    4a + 14b = 29
    4a + 6b = 17
    → 8b = 12
    b = 3/2

    4a + 6b = 17
    4a + 6(3/2) = 17
    4a + 9 = 17
    4a = 8
    a = 2

    semoga bermanfaat

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