Matematika

Pertanyaan

tentukan hasil tanpa menghitung satu persatu -100-99-98....-2-1-0+1+2+3+4+.......+48+49+50

2 Jawaban

  • -(101×100)/2 + (50×51)/2
    -(101×50) + (25×51)
    -5050 +1285
    -3775
  • A = -100
    B = -99 - (-100) = 1
    Jumlah suku :
    = 100 + 1 + 50
    = 151

    S151 :
    = n/2 [2a + (n-1) x b]
    = 151/2 [2 x (-100) + (151-1) x 1]
    = 77,5 [-200 + 150]
    = 77,5 x (-50)
    = -3775

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