Matematika

Pertanyaan

diketahui barisan bilangan 1,4,8,13,..... nilai U20-U12 adalah......

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  • Bab Barisan dan Deret
    Matematika SMP Kelas VIII

    1, 4, 8, 13, ... → a = 1
      3, 4, 5, .. → b = 3
        1, 1, .. → c = 1

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

    U20 = 1 + (19 x 3) + (1/2 x 19 x 18 x 1)
            = 1 + 57 + 171
            = 228

    U12 = 1 + (11 x 3) + (1/2 x 11 x 10 x 1)
            = 1 + 33 + 55
            = 89

    U20 - U12 = 228 - 89
                      = 139

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