Matematika

Pertanyaan

3+8+13+...+98=...



Deret

2 Jawaban

  • Bab Barisan dan Deret
    Matematika SMP Kelas IX

    a = 3
    b = 8 - 3 = 5

    Un = a + (n - 1) b = 98
            3 + (n - 1) x 5 = 98
            (n - 1) x 5 = 98 - 3
            n - 1 = 95 / 5
            n = 19 + 1
             n = 20

    Sn = n/2 x (a + Un)
    S20 = 20/2 x (3 + 98)
           = 10 x 101
           = 1.010 
  • Matematika
    Barisan dan deret IX SMP

    Pembahasan :
    Un = 98
    a + (n - 1)b = 98
    3 + (n - 1)(8 - 3) = 98
    3 + (n - 1)5 = 98
    3 + 5n - 5 = 98
    5n - 2 = 98
    5n = 100
    n = 20

    Sn = n/2(2a + (n - 1)b)
    S20 = 20/2(2.3 + 19.5)
    S20 = 10(6 + 95)
    S20 = 10(101)
    S20 = 1010

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