Matematika

Pertanyaan

Tentukan hasil dari( tanpa menghitung satu persatu) = -100-99-98-...-2-1-0+1+2+...+48+49+50 = beserta caranya

2 Jawaban

  • -100-99...-50.....+50
    =-50+50 = 0
    =-100....-51
    =-151 Ɨ 50 : 2 = -3775
  • a = -100
    b = -99 -(-100) = 1

    Un = a + (n-1)b
    50 = -100 + (n-1)1
    50 = -100 + n - 1
    n = 50 + 101
    n = 151

    Sn = n/2(a + Un)
    S₁₅₁= 151 /2 ( (-100) + 50)
    = 151 / 2 . (-50)
    = -3.775

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