Matematika

Pertanyaan

Suku ke -20 dari barisan bilangan 5, 10, 17, 26, 37,... adalah...
a. 442
b.642
c. 842
d.862

2 Jawaban

  • Kelas 8 Matematika
    Bab Barisan dan Deret Bilangan

    5, 10, 17, 26, 37, ... → a = 5
    ...5,...7,...9,...11,.... → b = 5
    .......2...2....2..... → c = 2
    n = 20

    Un = a + (n - 1) . b + 1/2 . (n - 1) . (n - 2) . c
    U20 = 5 + 19 . 5 + 1/2 . 19 . 18 . 2
    U20 = 5 + 95 + 342
    U20 = 442
  • 5 a = 5
    b = 5
    c = 2

    Un = a+(n-1) × b + 1/2 × (n-1) × (n-2) × c

    U₂₀ = 5+(20-1) × 5 + 1/2 × (20-1) × (20-2) × 2

    U₂₀ = 5 + 19 × 5 + 1/2 × 19 × 18 × 2

    U₂₀ = 5 + 95 + 19 × 18

    U₂₀ = 5 + 95 + 342

    U₂₀ = 442 [ opsi. A ]

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