Matematika

Pertanyaan

Tentukan jumlah barisan bilangan barikut 5, 11, 17, 23,. ..........., 131

1 Jawaban

  • 5, 11, 17, 23, ..., 131

    a = 5

    b = 11 - 5 = 6


    Un = a + (n - 1)b

    131 = 5 + (n - 1)(6)

    131 = 5 + 6n - 6

    131 = -1 + 6n

    6n = 131 + 1

    6n = 132

    n = 132 ÷ 6

    n = 22


    Sn = [tex]\frac{n}{2}[/tex](a + Un)

    S₂₂ = [tex]\frac{22}{2}[/tex](5 + 131)

    S₂₂ = 11(136)

    S₂₂ = 1.496

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