Matematika

Pertanyaan

u5= 15 u8=24 pada barisan bilangan aritmatika tentukan s8

1 Jawaban

  • U5 = 15 => a + 4b = 15
    U8 = 24 => a + 7b = 24

    eliminasi :
    a + 7b = 24
    a + 4b = 15 -
          3b = 9
            b = 9/3
            b = 3

    cari nilai a
    a + 4b = 15
    a + 4 x 3 += 15
    a + 12 = 15
           a = 15-12
           a = 3

    Sn = 1/2(n) (2a+ (n-1) b)
    S8 = 1/2 (8) (2 x 3 + (8-1) 3)
          = 4 (6 + 7 x 3)
          = 4 (6+ 21)
          = 4 x 27
          = 108

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