Matematika

Pertanyaan

Dik:Deret Aritmatika=5+10+15+20
Dit:Tentukanlah=a)S14,b)S51,c)S100

1 Jawaban

  • Sn = 1/2 x n x ( U1 + Un )

    a) S14
    cari u14 → a+(n-1)b = 5+(14-1)5 = 5+65 = 70
    S14 = 1/2 x 14 x (5+70)
    = 7x75
    = 525

    b) S51
    cari u51 → a+(n-1)b =5+(51-1)5=5+250= 255
    S51 = 1/2 x 51 x (5+255)
    = 25,5 x 260
    = 6630

    c) S100
    cari u100→a+(n-1)b= 5+(100-1)5= 5+495 =500
    S100 = 1/2 x 100 x (5+500)
    = 50 x505
    = 25.250

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