Matematika

Pertanyaan

suatu deret aritmatika memiliki nilai suku ke-3 dan suku ke 7 berturut-turut 14 dan 26. jumlah 20 suku pertama deret tersebut adalah..

sama cara nya ya kak ,, biar faham ☺

2 Jawaban

  • langsung aja y

    U3 = a + 2b = 14
    U7 = a + 6b = 26
    _____________-
    -4b = -12
    b = 3

    a + 2b = 14
    a = 14 - 2(3)
    a = 14 - 6
    a = 8

    S20 = 20/2 (2a + 19b)
    S20 = 10 (2.8 + 19.3)
    S20 = 10 (16+57)
    S20 = 10 (73)
    S20 = 730

    semoga berguna +_+
  • U3 = U1 + 2b = 14
    U7 = U1 + 6b = 26
    -----------------------------[-]
    ========> -4b = -12
    ========> b = 3

    U3 = U1 + 2b
    14 = U1 + 2.3
    14 = U1 + 6
    U1 = 14 - 6
    U1 = 8

    Sn = n/2 ( 2.U1 + (n-1)b)
    S20 = 20/2 ( 2.8 + (20-1) 3)
    S20 = 10 ( 16 + 19.3)
    S20 = 10 ( 16 + 57 )
    S20 = 10 (73)
    S20 = 730

    semoga membantu

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