Matematika

Pertanyaan

Mohon di jawab soal ini
a. 1-2+3-4+5-6+7-8+......-100
b. -100-99-98-......-2-1-0+1+2+....+48+49+50

1 Jawaban

  • a•

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

    b•

    -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

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