Matematika

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Bantuin caranya pliss

Dari deret aritmatika diketahui U3 = 7, sedangkan U4+U7 = 29, jumlah 27 suku pertamanya adalah....

2 Jawaban

  • U3 = 7
    a + 2b = 7

    U4 + U7 = 29
    (a + 3b) + (a + 6b) = 29
    2a + 9b = 29

    eliminasi:
    2a + 4b = 14
    2a + 9b = 29
    __________ --
    5b = -15
    b = 3
    a = 1

    S27 = (27/2)(2(1) + 26(3))
    = (27/2)(80)
    = 1080
  • Langsung aja y

    U3 = 7
    a + 2b = 7

    U4 + U7 = 29
    a + 3b + a + 6b = 29
    2a + 9b = 29

    a + 2b = 7 (×2)
    2a + 9b = 29 (×1)

    2a + 4b = 14
    2a + 9b = 29
    __________-
    -5b = -15
    b = 3

    a + 2b = 7
    a = 7 - 2(3)
    a = 7 - 6
    a = 1

    S27 = 27/2 (2a + 26b)
    S27 = 13,5 (2.1 + 26.3)
    S27 = 13,5 (2 + 78)
    S27 = 13,5 (80)
    S27 = 1.080

    semoga berguna +_+

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