Matematika

Pertanyaan

2+4+6+8+10+...+100 tolong di jawab yh

2 Jawaban

  • Deret Aritmetika.

    2 + 4 + 6 + 8 + 10 + ... + 100
    Un = a + (n - 1)b
    n = (Un - a) / b + 1
        = (100 - 2) / 2 + 1 = 50

    Sn = n/2 [2a + (n - 1)b]
    S₅₀ = 50/2 [2(2) + (50 - 1)(2)] 
           = 2550
  • a = 2
    b = 4 - 2 = 2
    Un = 100

      Un = bn + a - b
    100 = 2n + 2 - 2
    100 = 2n
       n  = 50

      Sn = n/2 (a + Un)
    S50 = 50/2 (2 + 100)
           = 25 x 102
           = 2.550

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