Matematika

Pertanyaan

Diketahui suku ke-7 = 22 dan suku ke-11 = 34. Jumlah 18 suku pertama adalah...
Bantu jwb ya :)

2 Jawaban

  • Kelas 8 Matematika
    Bab Barisan dan Deret Bilangan

    b = (U11 - U7)/(11 - 7)
    b = (34 - 22)/4
    b = 12/4
    b = 3

    a = U7 - 6b
    a = 22 - 6 . 3
    a = 22 - 18
    a = 4

    Sn = n/2 . (2a + (n - 1) . b)

    S18 = 18/2 . (2 . 4 + 17 . 3)
    S18 = 9 . (8 + 51)
    S18 = 9 . 59
    S18 = 531
  • Beda
    = (U11-U7) / 11-7
    = (34-22) / 4
    = 12 / 4
    = 3

    U7 = a + (n-1)b
    22 = a + (7-1)3
    22 = a + 18
    a = 22 - 18
    a = 4

    Sn = n/2 (2a + (n-1)b)
    S18 = 18/2 (2.4 + (18-1)3)
    S18 = 9 (8+ 17.3)
    S18 = 9 (8 + 51)
    s18 = 9 (59)
    S18 = 531

    semoga membantu :)

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