Matematika

Pertanyaan

tentukan hasil dari (tanpa menghitung satu pessary)a.1+3+5+7+9...+99b.1–2+3–4+5–6+7–8+...–100c.–100–99–98–...–2–1–0+1+2+...+48+49+50. please jwb dg caranya

2 Jawaban

  • a•
    1 + 3 + 5 + ... + 99 ----> 50 suku (n = 50)
    = (1 + 99) + (3 + 97) + ... + (49 + 51)
    = 100 × 50/2
    = 2500

    b•
    (1 - 2) + (3 - 4) + ... + (99 - 100) ---> n = 100
    = (-1) × 100/2
    = -50

    c•
    -100 - 99 - ... - 50 - 49 ... - 0 + 1 + ... + 49 + 50
    = -100 - 99 - 98 - ... - 51 + 0
    = -(100 + 99 + 98 + ... + 51) ---> n = 50
    = -((100 + 51) + (99 + 52) + ... + (76 + 75))
    = -(151 × 50/2)
    = -(151 × 25)
    = -3775
  • Kategori: Matematika
    Materi: Deret
    Kelas: IX SMP
    Kata kunci: Pola Deret


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