Matematika

Pertanyaan

dari deret aritmatika diketahui U3=10 dan U10=31.tentukan jumlah 30 suku pertama deret tersebut

2 Jawaban

  • langsung aja y

    U3 = a + 2b = 10
    U10 = a + 9b = 31
    _____________-
    -7b = -21
    b = 3

    a + 2b = 10
    a = 10 - 2(3)
    a = 10 - 6
    a = 4

    S30 = 30/2 (2a + 29b)
    S30 = 15 (2.4 + 29.3)
    S30 = 15 (8+87)
    S30 = 15 (95)
    S30 = 1.425

    semoga berguna +_+
  • penyelesaian:

    U3 = a + 2b = 10
    U10 = a + 9b = 31
    ________________ --
    7b = -21
    b = 3

    a + 2b = 10
    a + 6 = 10
    a = 4

    Sn = n/2 {2a + (n-1)b}
    S30 = 30/2 {2(4) + 29(3)}
    = 15 (8 + 87)
    = 15 (95)
    = 1.425

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