Matematika

Pertanyaan

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1 Jawaban

  • Mapel : Matematika
    Kelas : IX SMP
    Bab : Barisan dan deret

    Pembahasan :
    1 + 2 + 3 + ... + 99
    = S99
    = 99/2(1 + 99)
    = 99/2(100)
    = 99(50)
    = 4950

    ————————————————
    -97 - 96 - 95 - ... + 103

    Un = 103
    a + (n - 1)b = 103
    -97 + (n - 1) = 103
    n - 98 = 103
    n = 201

    Sn = n/2(a + Un)
    S201 = 201/2(-97 + 103)
    S201 = 201/2(6)
    S201 = 201(3)
    S201 = 603 —» Hasil akhir