Matematika

Pertanyaan

diketahui deret aritmatika dengan U3=8 danU8=23.jumlah 25 suku pertama adalah

2 Jawaban

  • Bab Pola Bilangan

    U3 = a + (3 - 1)b
    a + 2b = 8

    U8 = a + (8 - 1)b
    a + 7b = 23

    a + 7b = 23
    a + 2b = 8
    _________ _
    5b = 15
    b = 3

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

    Sn = n/2 (2a + (n - 1)b)
    S25 = 25/2 (2(2) + (25 - 1)3)
    S25 = 25/2 (4 + 72)
    S25 = 25/2 (76)
    S25 = 25(38)
    S25 = 950
  • langsung aja y

    U3 = a + 2b = 8
    U8 = a + 7b = 23
    _____________-
    -5b = -15
    b = 3

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

    S25 = 25/2 (2a + 24b)
    S25 = 12,5 (2.2 + 24.3)
    S25 = 12,5 (4 + 72)
    S25 = 12,5 (76)
    S25 = 950

    semonga berguna +_+

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