Matematika

Pertanyaan

Tentukan nilai k agar bilangan-bilangan berikut membentuk barisan aritmatika
K - 6, k - 1, 2k - 4, dan 3k - 7

1 Jawaban

  • U4 = k-6 + (3) × (k-1-k-6)
    3k-7 = k-6 + (3) × (k-k-6-1)
    3k-7 = k-6 + (3) × (5)
    3k-7 = k-6 + (15)
    3k-7 - k-6 = 15
    3k-k - 7-6 = 15
    2k - 13 = 15
    2k = 15+13
    2k = 28
    k = 14

    *)pembuktian :
    k - 6 = 14-6 = 8
    k - 1 = 14-1 = 13
    2k-4 = (2×14)-4 = 28-4 = 24
    3k-7 = (3×14)-7 = 32-7 = 25

    b= 13-8 = 5

    semoga membantu... ^.^

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